Question

You make arrangements for people to buy tickets for a one-day behind-the-scenes park tour. The maximum number of people admitted will be 200. The amount of money brought in as revenue is a function of the number of people admitted.

Each person is charged $30 but you have to pay $50 to rent the tour bus. Create a function that shows this relationship and determine the domain and range of this function. Also determine and interpret the meaning of the y-intercept.

Answer 1

You must submit the following to your instructor:
The equation in function notation relating revenue to the number of people admitted
The domain and range values for this function
The y-intercept and its interpretation

Answer 2

For every person coming in, you charge $30. Table of prices:
\[\begin{array}{c|c}
\text{number of people}&\text{price of tickets}\\
\hline
1&30\\
2&60\\
3&90\\
\vdots&\vdots
\end{array}\]
See a pattern? What's the price for \(x\) people?

You have to pay a fixed cost of $50, so whatever the revenue from the tickets, you take away $50.

Answer 3

Thank you!!