g(x) has a greater unit rate because the change in y (output) for g(x) is larger for each change in x than it is for f(x).
f(x):
- f(-1) = 6 - 7(-1) = 6 + 7 = 13
- f(0) = 6 - 7(0) = 6
- f(-1) - f(0) = 13 - 6 = 7
g(x):
- g(-1) = 10
- g(0) = 7.5
- g(-1) - g(0) = 10 - 7.5 = 2.5
Therefore, the unit rate for g(x) is greater.
The correct answer is b. g(x).
which linear function has a greater unit rate, f(x) or g (x)
f(x)=6-7x
x -2 -1 0 1 2
g(x) 12.5 10 7.5 5 2.5
A. f(x)
b.g(x)
c.both functions have a negative slope
d.neither function has a negative slope
1 answer