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 (1 point) Responses f(x) f(x) g(x) g(x) The unit rates are the same. The unit rates are the same. There is not enough information given to compare the unit rates. There is not enough information given to compare the unit rates.

Answer 1

To compare the unit rates of the two linear functions, we need to look at the coefficients of x in each equation.

For f(x) = 3.5x + 1, the coefficient of x is 3.5.

For g(x), we can calculate the unit rate by finding the change in g(x) for a change in x of 1. From the table:

g(-2) = -7
g(-1) = -4.5

The change in g(x) is -4.5 - (-7) = 2.5 when x changes by 1.

Therefore, the unit rate for g(x) is 2.5.

Since 3.5 > 2.5, the linear function f(x) has a greater unit rate than g(x). The correct response is: f(x)