which linear function has a greater unit rate, f(x) or g (x)

f(x)=3/5x+1

x -2 -1 0 1 2
g(x) -7 -4.5 -2 0.5 3

A. f(x)
b.g(x)
c.the unit rate are the same
d.there is not enough information

1 answer

To determine the unit rate, we need to look at how much the output changes for each unit change in the input.

For f(x):
When x goes from 0 to 1, the output goes from 1 to 1.6, so the change in output is 0.6 for a change of 1 unit in the input. This means the unit rate for f(x) is 0.6.

For g(x):
When x goes from 0 to 1, the output goes from -2 to 0.5, so the change in output is 2.5 for a change of 1 unit in the input. This means the unit rate for g(x) is 2.5.

Therefore, the linear function g(x) has a greater unit rate. So, the answer is:

B. g(x)