Question

Two functions are represented in different ways. Function 1:y = 32x + 45 Function 2:xy 0 65 1 85 2 105 3 125 Which statements are true?Select each correct answer.

A Function 1 has a greater rate of change than function 2.

B Function 2 has a greater rate of change than function 1.

C Function 1 has a greater y-intercept than function 2.

D Function 2 has a greater y-intercept than function 1.

Answer 1

The answers are

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Explanation:

Function 1: y = 32x + 45

rate of change = 32

y-intercept = 45 when x = 0

Function 2: x y 0 65 1 85 2 105 3 125

rate of change = (85-65)/(1-0) = 20

y-intercept = 65 when x = 0

Therefore the answers are

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

Hope this helped.