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 negative quadratic function
a negative quadratic function

a positive exponential function
a positive exponential function

a positive linear function
a positive linear function

a negative linear function

Answer 1

The scenario described involves a job that pays a starting amount of $10, followed by an additional $15 for every hour worked. This situation can be represented by a linear function because the total pay increases at a constant rate (the hourly wage).

To express this mathematically:

• Let \( h \) represent the number of hours worked.

• The total pay \( P \) can be expressed as:

  \( P = 10 + 15h \)

In this function, the starting payment of $10 is a constant (the y-intercept), and the $15 per hour is the slope (indicating the amount earned per hour).

Therefore, the best representation of how much money the leaf-raker makes at a worksite is:

a positive linear function.