Consider the two functions. Which statement is true? A) Function 1 has a greater rate of change by 1 4 B) Function 2 has a greater rate of change by 1 4 C) Function 1 has a greater rate of change by 1 2 D) Function 2 has a greater rate of change by 1 2

Option B is the correct option.

Step-by-step explanation:

The given question is incomplete; complete question is attached herewith.

For this question we will evaluate each option one by one.

A). Function 1 has a greater rate of change by

Linear function 1. passes through two points (4, 0) and (0, -2).

Rate of change or slope of the line =

Slope m =

          =

Rate of change or slope of the function (2)

Slope m' =

m - m' =

So function 2 has greater rate of change than function (1) by

Therefore, Option A is incorrect.

B). Function (2) has a greater rate of change by

As we have seen in the option (A) function 2 has the greater rate of change than function 2 by

Option (B) is correct.

C). Function (1) has a greater rate of change by

As proved above this option is incorrect.

D). Function (2) has a greater rate of change by

Option (D) is incorrect.

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

step-by-step explanation: yes