Question

Compare the two given functions. Which function has a greater rate of change?

Function A
y=12x+3
Function B
y=2x−4

Answer 1

Function A

Explanation:

Function A: y = 12x + 3

The coefficient of x is 12. This means that for every increase of 1 unit in x, y will increase by 12 units. So, the rate of change for Function A is 12.

Function B: y = 2x − 4

The coefficient of x is 2. This means that for every increase of 1 unit in x, y will increase by 2 units. So, the rate of change for Function B is 2.

We see that

12 > 2

So, function A has a greater rate of change.