The graph below shows the distance in miles, m, hiked from a camp in h hours.

Which hourly interval had the greatest rate of change?

1) hour 0 to hour 1
3) hour 2 to hour 3
2) hour 1 to hour 2
4) hour 3 to hour 4

The Graph Below Shows The Distance In Miles, M, Hiked From A Camp In H Hours.Which Hourly Interval Had

Answers

Answer 1

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

Answer 2

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

https://brainly.com/question/2137763


Related Questions

Which is greater 15/27 or 16/24

Answers

Answer:

16/24

Step-by-step explanation:

let’s use the GCF of both which is 3 for 15/27

15/27 divided by 3 is 5/9

for 16/24 the gcf is 8

16/24 / 8 is 2/3

now we have to multiply 2/3 times 3

2/3 times 3 6/3 which is 2

so 16/24 is greater.

Which number produces a rational number when multiplied by 1/5 ?

Answers

D
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number

Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

If xy>0, then the points of P(x,y) lies...

Answers

Answer:

In Quadrant I or III

Step-by-step explanation:

We know if the sign was not showing closed inequality facing other way

xy < 0 would be in the 2nd or 4th quadrant.

If xy = 0  then either xy or both are on the x or y axis

But if xy>0 then they are in quadrant I or III

If xy>0, then the points of P(x,y) lies in Quadrant I and III

Quadrants on the Cartesian plane

According to the given condition;

xy > 0

This means that the product of x and y is a positive number.

Hence, either both x and y-coordinates are positive or are both negative

Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.

Read more on Cartesian plane;

https://brainly.com/question/14325342

What is the value of x?
A-14
B-15
C-16
D-17

Answers

Answer:

A

Step-by-step explanation:

The answer is a because first you need to add up 110+110+70

You would get 290

Then subtract 360-290

You would get 70

Divide 70/5

You get 14, the answer.

Answer: A

Step-by-step explanation:

Cuantas veces cabe 1/8 en 1/4

Answers

Answer:

Two eighths

Step-by-step explanation:

Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

Can you people help me please

Answers

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members

Answers

Answer:idk

Step-by-step explanation:

sorry

does anyone know the answer to this ?

Answers

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

Which is the most efficient way to solve this equation?

+4=17


Subtract 4
from both sides because that will result in an equivalent equation with
alone on one side.


Subtract 17
from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.


Add 4
to 17
because
equals 21

Answers

Answer:

Which is the most efficient way to solve this equation?

+4=17

Subtract 4

from both sides because that will result in an equivalent equation with

alone on one side.

Subtract 17

from both sides of the equation so all terms will be on the same side of the equal sign.

Nothing, because the equation is already solved.

Add 4

to 17

because

equals 21.

Step-by-step explanation:

MARK ME AS THE BRAINIEST

type at least 2 ways they are the same and type 2 ways they are different.

Answers

Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.

Step-by-step explanation:

Which is the solution to -3k-2k+12 = 2k-9?​

Answers

Answer:

k =3

Step-by-step explanation:

-3k-2k+12 = 2k-9

-5k+12 = 2k -9

Add 5k to each side

-5k+5k+12 = 2k+5k-9

12 = 7k-9

Add 9 to each side

12 +9 = 7k-9+9

21 = 7k

Divide each side by 7

21/7 = 7k/7

3 =k

[tex]answer = 3 \\ solution \\ - 3k - 2k + 12 = 2k - 9 \\ or, \: - 3k - 2k - 2k = - 12 - 9 \\ or, \: - 5k - 2k = - 21 \\ or, \: - 7k = - 21 \\ or, \: k = \frac{ - 21}{ - 7} \\ k = 3 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

PLEASE HELP!

The dot plots show two different random samples of the number of lunches purchased in a month by some students. Which statement is BEST supported by the data?

Answers

Answer: i think its b

Step-by-step explanation:

Answer is B

Step-by-step explanation:

Find the measure of an exterior angle of a regular hexagon

Answers

Answer: 60 degree angle

Step-by-step explanation:

The rule for polygons is that the sum of the exterior angles adds up to 360. Since there are 6 exterior angles on a 6 sided polygon (hexagon), then we can divide 360 by 6 to find the measure of an exterior angle. This means that one exterior angle of a hexagon is equal to 60 degrees.

PLEASE HELP ASAP!!! How many 1/2-cup servings are there in 3/4 of a cup of cereal?

Answers

Answer:

there is only 1 but you have some left over so maybe 2

Answer:

Hey!

Your answer is about 3/2 servings!!

Step-by-step explanation:

HOPE THIS HELPS!!

A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?

Answers

Answer:

105 cars

Step-by-step explanation:

150cars=100%

and if 30% of the cars are sedans then the cars which are not sedans is

100%-30% =70%

if 150 cars=100%

? cars=70%

if less more devides

70%/100%×150cars

all zeros cancel which would be left with

7× 15

105 cars.

Answer:

The answer is 105

So that 30% of those cars are 45 Sedans of the 150 cars.

Now we need to find out how many cars are in that remaining 70%

In order to do this we need to subtract 45 from 150

So 150 minus 45 is 105

Finally, we know that that remaining 70% is 105 cars that aren't Sedans.

So 105 cars are not Sedans.

In the number
23.45, the digit
4 is in the Select...
place.

Answers

Answer:

tenths place

Step-by-step explanation:

tens  ones . tenths hundredths

2          3    .    4            5

The four is in the tenths place

Let's use the place value chart.

You can see that the digit 4 is in the tenths place.

So the value of the digit is 4 tenths.

Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6

Answers

2(3)+6

Explanation

2(3+3)=12


2(3)+6
6+6=12

Equivalent

Answer:

D

Step-by-step explanation:

What is the range of the function y=sqrtx+5 ?

Answers

[0, ♾) is the range of the function

Answer:

(0, ♾️ ) is the range of function y=sqrtx+5.

(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?

Answers

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

Answer:

d

Step-by-step explanation:

does anyone know the answer to this ?

Answers

Step-by-step explanation:

The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.

Gregory spins the spinner once. What is P(vowel)?
PLEASE HELP ME!!!

Answers

Answer:

There is two vowels and 6 sections in total

2 wanted sections / 6 total sections = 1/3

1/3 chance or 33.33333%

Step-by-step explanation:

Chris plotted 3 points on the graph of the equation y=2x. Which coordinates name the points on Chris’s graph?

Answers

Answer:

(0,0) (2,4) (-2,-4)

Step-by-step explanation:

(-9n^4+8)-(9n^4+2n^3+5n^2)=

Answers

Answer:

[tex]-18n^4-2n^3-5n^2+8[/tex]

Step-by-step explanation:

[tex](-9n^4+8)-(9n^4+2n^3+5n^2)= \\\\-9n^4 - 9n^4 + 8-2n^3-5n^2= \\\\-18n^4-2n^3-5n^2+8[/tex]

Hope this helps!

Steps:

Distribute the Negative Sign:

=-9n⁴+8+-1(9n⁴+2n³+5n²

=-9n⁴+8+−1(9n⁴)+−1(2n³)+−1(5n²)

=−9n⁴+8+−9n⁴+−2n³+−5n²

Combine Like Terms:

=−9n⁴+8+−9n⁴+−2n³+−5n²

=(−9n⁴+−9n⁴)+(−2n³+(−5n²)+(8)

=−18n⁴+−2n³+−5n²+8

Description:

The first steps is to distribute the Negative Sign, after you do it your equation will end like =−9n⁴+8+−9n⁴+−2n³+−5n². Second step is to Combine Like Terms/factors. When you do it your equation will end like=−18n⁴+−2n³+−5n²+8. And that will be the answer to simplify.

Answer: =−18n4−2n3−5n2+8

Please mark brainliest

Hope this helps.

Which of the following is a counter example for the given conjecture?

Conjecture: All student have school pride.

A. Jose goes to school every day.
B. Jessica studies and is attentive in class.
C. Joanna always wears her school colors and attend all school events she possibly can.
D. John does not wear his school colors and does not attend any school event

Please answer this

Answers

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

D- John does not wear his school colors and does not attend any school event.

Description in mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

The counter-example for the given conjecture is "John does not wear his school colours and does not attend any school event". Therefore, option D is the correct answer.

The given conjecture is "All students have school pride."

We need to identify a counter-example for the given conjecture.

What is a conjecture?

In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's Last Theorem, have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.

Now, "All students have school pride" is not true, because not all students have school pride.

The counter-example for this conjecture is "John does not wear his school colours and does not attend any school event"

Therefore, option D is the correct answer.

To learn more about the conjecture visit:

https://brainly.com/question/24881803.

#SPJ5

Solve |4x +2|= 6
a.1 or -2
b.-1 or 2
c.1
s.2

Answers

Answer:

A

Step-by-step explanation:

When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2

Answer:

x =1   x=-2

Step-by-step explanation:

|4x +2|= 6

There are two solutions a positive and a negative

4x+2 = 6      and 4x+2 = -6

Subtract 2 from each side

4x+2-2 = 6-2      4x+2-2 = -6-2

4x = 4                     4x = -8

Divide by 4

4x/4 = 4/4            4x/4   =-8/4

x =1                            x = -2

What is the slope-intercept equation of this line?

Answers

Answer:

A. y=-3x+4

Step-by-step explanation:

Since the equation is in y=mx+b form, m represents the slope of a line. To solve for slope-intercept, use the equation m=(y2-x2)/(y1-x1).

[tex]m=\frac{-2-4}{2-0}[/tex]

[tex]m=\frac{-6}{2}[/tex]

[tex]m=-3[/tex]

Make sure to plug in one of the points into the equation to check if the numbers equal to one another or not.

How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?

Answers

Answer:

I do not know this is harddd

The system of equation y=3/4 and y=-x+3 According to the graph, what is the solution to this system of equations?
(4, -1)
(-1.4)
(4.1)
(1.4)​

Answers

Answer:

a

Step-by-step explanation:

Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer

Green Material:
Brown material:

Answers

Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.

Anyway the volume of the bin is length times width times height,

V = 4 × 18 × 9 = 648 cubic inches

So the volume of brown is 20 % of that

B = 20% of V = .2 × 648  = 129.6 cubic inches

The volume of green is 30%,

G = 30% of V = .3 × 648 = 194.4 cubic inches

Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches

Describe the cross section.

Answers

Answer: D. Square

The cross section is shown as the shaded region. There are four sides to the shaded figure, so the cross section is a quadrilateral. This rules out choice C. We can also cross choice B off the list because cross sections of 3D figures are 2 dimensional.

Choice A is ruled out as well because we have both pairs of opposite sides that are parallel. The only thing left is choice D. This is true assuming we have a square prism. Any cube is a square prism that has its height equal to the width and length.

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