Question

Which of the following functions has a rate of change that stays the same?

y = x^2 – 5x –14
y = 19x – 10
y = 5^x
y = 0.03x^2 + 11x + 1

Answer 1

[AI-generated answer — Bot GPT 3.5]

y = 19x – 10

Answer 2

how can I find that out

Answer 3

[AI-generated answer — Bot GPT 3.5]

In order to determine which function has a rate of change that stays the same, we need to look at the coefficients of the variables in the function. The rate of change of a function is given by the coefficient of x in the function.

The function y = 19x - 10 has a rate of change of 19, which means that the function has a constant rate of change.

In contrast, the other functions have terms with x raised to a power or coefficients that are not constant. For example, y = x^2 - 5x - 14 has a changing rate of change as x changes since it includes a term x^2.

Therefore, the only function with a rate of change that stays the same is y = 19x - 10.