Question

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: are the points (2,16) and (6,22)
Linear Function 2: are the points (0,12) and (4,24)
(1 point)

Answer 1

To determine which linear function has the greater rate of change, we can calculate the slope of each function.

Linear Function 1:
The slope of a linear function can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)

Using the points (2,16) and (6,22), we have:
slope = (22 - 16) / (6 - 2) = 6 / 4 = 1.5

Linear Function 2:
Using the points (0,12) and (4,24), we have:
slope = (24 - 12) / (4 - 0) = 12 / 4 = 3

Therefore, Linear Function 2 has the greater rate of change with a slope of 3.