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=5.20n(B) p=7.95n(C) p=5.20n−45(D) p=7.95n−45
Q. 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=5.20n(B) p=7.95n(C) p=5.20n−45(D) p=7.95n−45
Identify Variables and Constants: Identify the variables and constants in the problem.Benjamin'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, and the cost to make each jar is $2.75. Additionally, Benjamin has to pay $45 to rent a table for the day.
Calculate Profit per Jar: Calculate the profit per jar.Profit per jar = Selling price per jar - Cost to make per jarProfit per jar = $7.95 - $2.75Profit per jar = $5.20
Write Total Profit Equation: Write the equation for the total profit.Total profit, p, is equal to the profit per jar times the number of jars sold, n, minus the table rental cost.p=(Profit per jar)×n−Table rental costp=$(5.20)×n−$(45)
Match with Given Options: Match the equation with the given options.The equation we derived is p=$5.20×n−$45, which matches option (C).
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