Question

Which of the following function has a rate of change that stays the same

Answer 1

y = -4x + 10

Step-by-step explanation:

The rate of change of a linear function is constant.

Looking at the answer choices we see that the only linear function given is y = -4x + 10 - other functions are non-linear; therefore, the correct answer choice is the first option: y = -4x + 10.

We can confirm our answer by taking the derivative of y = -4x + 10

`(dy)/(dx)=(d(-4x+10))/(dx)`
`=-4(dx)/(dx)+(d10)/(dx)`
`=-4`

which is a constant!