Question

A company rents out 11 food booths and 25 game booths at the county fair. The fee for a food booth is$200 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all thebooths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that thecompany is paid.The expression is

Answer 1

We need to find the cost of the rents by adding the fixed fee and the cost for each day multiplied by the total number of days. Then we need to add both types of rents to determine the total cost. This is shown below:

`\begin{gathered} \text{food}=200+8\cdot d \\ \text{game}=80+7\cdot d \\ \text{total}=\text{food}+\text{game} \\ \text{total}=200+8\cdot d+80+7\cdot d \\ \text{total}=15\cdot d+280 \end{gathered}`

The simplified expression for the total cost is "15d+280".