Question

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

Answer 1

B

Explanation:

Answer 2

Option B is the correct option.

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
`(1)/(4)`

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

Rate of change or slope of the line =
`(y-y')/(x-x')`

Slope m =
`(0+2)/(4-0)`

=
`(1)/(2)`

Rate of change or slope of the function (2)
`y=(3)/(4)x-2`

Slope m' =
`(3)/(4)`

m - m' =
`(1)/(2)-(3)/(4)=-(1)/(4)`

So function 2 has greater rate of change than function (1) by
`(1)/(4)`

Therefore, Option A is incorrect.

B). Function (2) has a greater rate of change by
`(1)/(4)`

As we have seen in the option (A) function 2 has the greater rate of change than function 2 by
`(1)/(4)`

Option (B) is correct.

C). Function (1) has a greater rate of change by
`(1)/(2)`

As proved above this option is incorrect.

D). Function (2) has a greater rate of change by
`(1)/(2)`

Option (D) is incorrect.