Question

(F.LE.5) The function f(x) = 7.75x models the amount of money that Jimearns for each hour of work. What does the lack of a constant tell us?A. There is no initial amount of money he gets paid prior to startingB. His hourly wageC. His total amount he gets paid for the dayD. The number of hours Jim has worked

Answer 1

In a linear model:

`f(x)=mx+b`

The coefficient of x, which is m, is the rate of change of the function f with respect to changes in the value of x. In the context of the problem, the coefficient of x tells us the amount of money that Jim earns per hour.

The constant term b is the initial value of the function f when x=0.

Since the given linear model has no constant term, it means that the initial value is 0. In other words, Jim will earn $0 if he works 0 hours.

Therefore, the correct choice is Option A) There is no initial amount of money he gets paid prior to starting.