27avvanoveridn
Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

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.

Sagot :

Answer:

Step-by-step 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.

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.