Question

the city pays students $50 per day to serve snow cones at the local summer festival. Analyze the potential earnings of a student who works the whole week of the festival if working partial days is not permitted. Identify the dependent variable within the context of this situation.

Answer 1

If a city pays a student $50 per day, then the total earnings can be modeled using the function:

`f(x)=50x`

Where f(x) are the earnings (in dollars) for x days of work. In this case, the dependent variable is the total earnings (f(x)), and the independent variable is the number of days the student work (x).

If a student works the whole week, then x = 7, and the potential earnings are:

`\begin{gathered} f(7)=50\cdot7 \\ \\ \therefore f(7)=\$350 \end{gathered}`