Question

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
function 1: y=15x+8
function 2:
x | y
5 | 26
13 | 34

Answer 1

To find the rate of change for each function, we can calculate the difference in y-values divided by the difference in x-values for each set of points.

For function 1, the rate of change is (34-8)/(13-5) = 26/8 = 3.25.

For function 2, the rate of change is (34-26)/(13-5) = 8/8 = 1.

Therefore, function 1 has a greater rate of change (3.25) compared to function 2 (1).