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Troyanec [42]
2 years ago
11

A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The f

ee for a game booth is $65 plus $8 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
1 answer:
Ymorist [56]2 years ago
7 0

Answer:

$2655 + $324d

Step-by-step explanation:

total cost of a booth = fixed cost + (variable cost x number of days)

Fixed costs are costs that do not vary with output

Variable costs are costs that vary with production

cost of 18 food booths = 18(50 + 6d) = 900 + 108d

cost of 27 game booths = 27(65 + 8d) = 1755 + 216d

Add the total cost of the food and game booths together 900 + 1755 = 2655

108d + 216d = 324d

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Hi there! Solving the absolute value equation is like solving a quadratic equation.

\large{ |x|  = a \longrightarrow x =  \pm a}

\large{ |x|  =  \begin{cases} x \:  \:  \: (x \geqslant 0) \\  - x \:  \:  \: (x < 0) \end{cases}}

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