Question
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
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
Answers
GPT 3.5
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)
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)