Question

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?

function A: y = 15x + 8

Function B: (5, 26) (13, 34)

Answer 1

To compare the rates of change between the two linear functions, we can find the slopes of the lines.

For Function A, the slope is the coefficient of x, which is 15.
For Function B, we can use the slope formula to find the slope between the two given points:

slope = (change in y) / (change in x)
= (34-26) / (13-5)
= 8 / 8
= 1

Since the slope of Function B is 1 and the slope of Function A is 15, Function A has the greater rate of change.