Question

What is the constant rate of change in the function y=5x?

Answer 1

5 is the constant rate of change in the function
`f(x)=5x`

Explanation:

We have the function
`f(x)=5x`

Let us start by inputting a few values into this function. How about 0, 1, 2, and 3:

`f(0)=5(0)=0\\\\f(1)=5(1)=5\\\\f(2)=5(2)=10\\\\f(3)=5(3)=15`

One thing that I would like you to notice is that every time that x increases by 1, the output increases by 5. This is our constant rate of change.