Question

A company rents out 18 food booths and 23 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answer 1

Explanation:

For the food booths, we can create an equation based on the y = mx + b equation. Since they are charging 8 dollars per day and they last for d days, then the slope is 8 or the rate is 8d. Since they also charge us 175 dollars which is a one time fee, it is the y-intercept. So the equation is

y = 8d + 175.

Since there are 18 food booths, then we can multiply the equation by 18.

y = 18(8d + 175)

y = 144d + 3150

For the game booth, we do the same thing. Since they charge us 7 dollars per day and the fair lasts for d days, then the rate is 7d. Since they also charge us 50 dollars as a one time fee, then it is the y-intercept. The equation for the game booth is:

y = 7d + 50

Since there are 23 game booths, multiply the equation by 23.

y = 23(7d + 50)

y = 161d + 1150

Now add them up to know how much they are being paid.

y = 305d + 4300

Hope this helps.