Question

y: 7, 10.5, 14, 17.5, 21

x: 2, 3, 4, 5, 6.

Which function has a greater rate of change than the function represented in the table.

A y = 4x
B y = x + 2
C y = 2x + 3
D y = 3x + 4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which function has a greater rate of change, we need to calculate the rate of change for each function. The rate of change is the amount that y changes for a one-unit increase in x.

For function A, y = 4x, the rate of change is 4.

For function B, y = x + 2, the rate of change is 1.

For function C, y = 2x + 3, the rate of change is 2.

For function D, y = 3x + 4, the rate of change is 3.

Comparing the rates of change, we can see that function D has the greatest rate of change. Therefore, the answer is D) y = 3x + 4.