Question

which linear function has the greater rate of change

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 each set of points given.

For linear function 1:
Change in y = 34 - 26 = 8
Change in x = 13 - 5 = 8

Rate of change = Change in y / Change in x = 8 / 8 = 1

Therefore, linear function 1 has a rate of change of 1.

For linear function 2:
Change in y = 34 - 26 = 8
Change in x = 13 - 5 = 8

Rate of change = Change in y / Change in x = 8 / 8 = 1

Therefore, linear function 2 also has a rate of change of 1.

Both linear functions have the same rate of change.