Question

Your baseball team is holding a silent auction as a fundraiser dinner to pay for the team uniforms. The list shows all the expenses for the silent actions A tablet costs $320Orioles tickets that cost $150A gift card that costs $30The cost of the food is $400The meme era of the baseball team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so 50 tickets will pay for the cost of the prizes and food.Build a function that can be used to find the total profit f(x), the baseball team earns by selling x tickets

Answer 1

The first step to determine the function is to find the total cost of the auction. This is done by adding all the prizes and the cost of the food.

$\begin{gathered} \text{ cost}=320+150+30+400 \\ \text{ cost}=900 \end{gathered}$

The total cost of the auction is $900. Since the cost of 50 tickets should be able to cover the cost, we need to divide the total cost by the number of tickets to determine the cost of each ticket.

$\begin{gathered} x=\frac{900}{50} \\ x=18 \end{gathered}$

Each ticket must be sold as $18. The whole function is:

$f(x)=18\cdot x-900$