Consider the scenario: A job raking leaves pays $10 to get started, then $15 for every hour of work. Decide which type of function best represents how much money the leaf-raker make at a worksite.(1 point)

Question

Responses

a positive exponential function
a positive exponential function

a negative linear function
a negative linear function

a positive linear function
a positive linear function

a negative quadratic function
a negative quadratic function

Answer 1

In this scenario, the leaf-raker earns a fixed starting amount of $10, plus an additional $15 for every hour worked. This can be represented as a linear function because the total amount of money earned increases at a constant rate (the $15 per hour) after the initial payment.

The function can be expressed as: \[ \text{Total earnings} = 10 + 15h \] where \( h \) is the number of hours worked.

Since the total earnings increase linearly with the number of hours worked, the best representation of this situation is:

a positive linear function.