A company rents out 17 food booths and 26 game booths at the county fair. The fee for a food booth is $200 plus $5 per day. The

Question

3 years ago

8

A company rents out 17 food booths and 26 game booths at the county fair. The fee for a food booth is $200 plus $5 per day. The

fee for a game booth is $95 plus $10 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

Mathematics

2 answers:

natka813 [3] · Answer 1 · 2022-02-14T02:01:38+03:00

natka813 [3]3 years ago

7 0

I think
d = (17x200 + 17x5) + (26x95 + 95x10)

aev [14] · Answer 2 · 2022-02-14T03:28:08+03:00

Answer:

345d+5870

Step-by-step explanation:

For reference, the * symbol is a multiplication symbol.

Let's break this problem up for simplicity.

1) We recognize that there are 17 food booths.

The fee for a single food booth is $200 up front, with a $5 bonus charge with each day that passes.

The fair lasts for <em>d</em> days, where the booths are rented out the entire time.

From these statements, we derive the equation: $(200+d*5).

For 17 booths, it would be 17 times that. Now, we have 17(200+5d).

2) Now, we recognize that there are 26 game booths.

The fee for a game booth is $95 up front, with a $10 bonus charge per day.

Using the same logic, with <em>d</em> days, for one booth, we derive the equation: $(95+10d).

For 26 booths, it would be 26 times that. We have 26(95+10d).

17(200+5d)+26(95+10d)

Multiply it out.

=> 3400+85d+2470+260d

=>345d+5870