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Vendors at a craft fair pay 
$45 to rent a table for the day. Benjamin rents a table at the craft fair and sells 8-ounce jars of jam for 
$7.95 per jar. If it costs Benjamin 
$2.75 to make each container of jam, which of the following equations best models his profit, 
p, from one day at the craft fair if he sells 
n jars of jam?
Choose 1 answer:
(A) 
p=5.20 n
(B) 
p=7.95 n
(C) 
p=5.20 n-45
(D) 
p=7.95 n-45

Vendors at a craft fair pay $45 \$ 45 to rent a table for the day. Benjamin rents a table at the craft fair and sells 88 -ounce jars of jam for $7.95 \$ 7.95 per jar. If it costs Benjamin $2.75 \$ 2.75 to make each container of jam, which of the following equations best models his profit, p p , from one day at the craft fair if he sells n n jars of jam?\newlineChoose 11 answer:\newline(A) p=5.20n p=5.20 n \newline(B) p=7.95n p=7.95 n \newline(C) p=5.20n45 p=5.20 n-45 \newline(D) p=7.95n45 p=7.95 n-45

Full solution

Q. Vendors at a craft fair pay $45 \$ 45 to rent a table for the day. Benjamin rents a table at the craft fair and sells 88 -ounce jars of jam for $7.95 \$ 7.95 per jar. If it costs Benjamin $2.75 \$ 2.75 to make each container of jam, which of the following equations best models his profit, p p , from one day at the craft fair if he sells n n jars of jam?\newlineChoose 11 answer:\newline(A) p=5.20n p=5.20 n \newline(B) p=7.95n p=7.95 n \newline(C) p=5.20n45 p=5.20 n-45 \newline(D) p=7.95n45 p=7.95 n-45
  1. Identify Variables and Constants: Identify the variables and constants in the problem.\newlineBenjamin's profit per jar of jam is the selling price minus the cost to make each jar. The selling price per jar is $7.95\$7.95, and the cost to make each jar is $2.75\$2.75. Additionally, Benjamin has to pay $45\$45 to rent a table for the day.
  2. Calculate Profit per Jar: Calculate the profit per jar.\newlineProfit per jar = Selling price per jar - Cost to make per jar\newlineProfit per jar = $7.95\$7.95 - $2.75\$2.75\newlineProfit per jar = $5.20\$5.20
  3. Write Total Profit Equation: Write the equation for the total profit.\newlineTotal profit, pp, is equal to the profit per jar times the number of jars sold, nn, minus the table rental cost.\newlinep=(Profit per jar)×nTable rental costp = (\text{Profit per jar}) \times n - \text{Table rental cost}\newlinep=$(5.20)×n$(45)p = \$(5.20) \times n - \$(45)
  4. Match with Given Options: Match the equation with the given options.\newlineThe equation we derived is p=$5.20×n$45p = \$5.20 \times n - \$45, which matches option (C).

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