Question

practice with rate of change and linear functions.
speed of a red kangaroo
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?
feet per second

Explanation:

Step1: Find change in y - values

Point A: \( y = 150 \), Point B: \( y = 200 \). Change in \( y \): \( 200 - 150 = 50 \).

Step2: Find change in x - values

Point A: \( x = 3 \), Point B: \( x = 4 \). Change in \( x \): \( 4 - 3 = 1 \).

Step3: Calculate rate of change

Rate of change \(=\frac{\text{Change in }y}{\text{Change in }x}=\frac{50}{1}=50\).

Answer:

Change in \( y \)-values: \( 50 \)
Change in \( x \)-values: \( 1 \)
Rate of change: \( 50 \)