Question

8.F.2. Examine each set of functions and determine which has the greater rate of change #5, #6, #7, #8

Answer 1

Function A

Explanation:

Given

`A:\ y = 4x + 3`

`B:\ y = (1)/(2)x + 5`

See attachment for complete question

Required

Which has a greater rate of change

A function is represented as:

`y = mx + b`

Where

m is the rate of change

So, the rate of functions of A and B is

`A:\ y = 4x + 3`

`m_A = 4`

`B:\ y = (1)/(2)x + 5`

`m_B = (1)/(2)`

By comparison

`m_A > m_B`

i.e.

`4 > (1)/(2)`

Hence, function A has a greater rate of change