Red kangaroos can reach speeds up to 50 feet per second. use the linear graph at the left to answer the questions. what is the change in y-values from point a to point b? what is the change in x-values from point a to point b? what is the rate of change of the linear function in feet per second?

we are given points A and B

A=(3,150)

B=(4,200)

we can find points

x1=3 , y1=150

x2=4 , y2=200

(a)

the change in y-values from Point A to Point B is

now, we can plug values

...........Answer

(b)

the change in x-values from Point A to Point B is

now, we can plug values

...........Answer

(c)

the rate of change of the linear function in feet per second is

now, we can plug values

.................Answer

The straight line graph indicates that rate of change of the distance traveled with time by the red kangaroo is a constant

Reasons:

The y-values at point A = 150 feet

The y-values at point B = 200 feet

Change in y-values from point A to point B, Δy is given as follows;

Δy = y-values at point B - y-values at point A

Δy = 200 feet - 150 feet = 50 feet

Change in y-values from point A to point B, Δy = 50 feet

The x-values at point A = 3 seconds

The x-values at point B = 4 seconds

Change in x-values from point A to point B, Δx is given as follows;

Δx = x-values at point B - x-values at point A

Δx = 4 seconds - 3 seconds= 1 second

Change in x-values from point A to point B, Δx = 1 second.

The rate of change of the linear function is , therefore, we have;

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