SHINeeLover99
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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?

Respuesta :

MrRoyal

Answer:

[tex]p = 5.20n - 45[/tex]

Explanation:

Given

[tex]Rent = \$45[/tex]

[tex]Cost\ Price = \$2.75[/tex]

[tex]Selling\ Price = \$7.95[/tex]

Required

Determine the function that represents the profit, p from n jars

First, we calculate the total cost price of n jars.

[tex]Total\ Cost = Unit\ Cost * n[/tex]

[tex]Total\ Cost = 2.75 * n[/tex]

[tex]Total\ Cost = 2.75 n[/tex]

Next, we calculate the total selling price of n jars.

[tex]Total\ Selling = Unit\ Selling * n[/tex]

[tex]Total\ Selling = 7.95 * n[/tex]

[tex]Total\ Selling = 7.95 n[/tex]

The profit p is then calculated as:

[tex]p = Selling\ Price - Cost\ Price - Rent[/tex]

[tex]p = 7.95n - 2.75n - 45[/tex]

[tex]p = 5.20n - 45[/tex]

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