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Function A is given by the equation y = 4 x - 7. Function B is given by the table shown.

Function B

x y

1 - 2

2 3

3 8

4 13

Function A has a than Function B.

A smaller rate of change

B greater rate of change

C smaller y-intercept

D greater y-intercept

Function A has a smaller rate of change than Function B.

If you input the same x values that have been recorded for Function B into Function A than you can compare the rates of change.

4 (1) - 7 = - 3

4 (2) - 7 = 1

4 (3) - 7 = 5

4 (4) - 7 = 9

The values increase by 4 each time but in Function B they increase by 5. Therefore Function A has a smaller rate of change.