The scenario described involves a leaf-raker who receives a starting payment of $10 and then earns an additional $15 for every hour worked. This results in a total payment that increases linearly based on the number of hours worked.
The components can be broken down as follows:
- A starting payment (y-intercept): $10
- A constant rate of increase (slope): $15 per hour
The total earnings as a function of hours worked (let's denote the number of hours worked as \( h \)) can be expressed in the form:
\[ \text{Earnings} = 10 + 15h \]
This equation represents a linear function, where the earnings increase as a straight line with a positive slope of 15, plus the initial payment of 10.
Therefore, the best representation of how much money the leaf-raker makes at a worksite is:
a positive linear function.