Question

Which linear function has a greater unit rate, f(x) or g(x) ? f(x) = 3.5x + 1 012 g(x) -7 -4.5 2 05 3 1 point ) f(x); g(x) The unit rates are the same There is not enough information given to compare the unit rates

Answer 1

To compare the unit rates of the two linear functions, we can look at the coefficients of the x terms. The unit rate is equal to the coefficient of the x term, as it represents the rate of change of the function.

For f(x) = 3.5x + 1, the coefficient of the x term is 3.5, which means the unit rate is 3.5.

For g(x) = -0.5x + 3, the coefficient of the x term is -0.5, which means the unit rate is -0.5.

Since 3.5 is greater than -0.5, f(x) has a greater unit rate than g(x). Therefore, the linear function f(x) has a greater unit rate.