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

Question

Linear Function 1: y=15x+8
Linear Function 2:
x y
5 26
13 34

Answer 1

To find the rate of change for each linear function, we can calculate the change in y divided by the change in x.

For Linear Function 1:
Change in y = 34 - 8 = 26
Change in x = 13 - 5 = 8
Rate of change = 26/8 = 3.25

For Linear Function 2:
Change in y = 34 - 26 = 8
Change in x = 13 - 5 = 8
Rate of change = 8/8 = 1

Comparing the two rates of change, we can see that Linear Function 1 has a greater rate of change (3.25) compared to Linear Function 2 (1).