Question

finding inputs and outputs in a story context
you purchase 130 bananas for 13 dollars and plan to sell them at the fair for 59 cents each. your profit can be determined by the function p(x)=0.59x - 13 where p represents your profit and x represents the number of bananas sold. round your answers to the nearest hundredth as needed.
calculate p(68)
complete the following sentence to explain the meaning of your answer.
the profit from selling bananas is dollars.
find x when p(x)=41.28
complete the following sentence to explain the meaning of your answer.
the profit from selling bananas is dollars.
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Explanation:

Step1: Calculate $P(68)$

Substitute $x = 68$ into $P(x)=0.59x - 13$.
$P(68)=0.59\times68 - 13$
$=40.12-13$
$=27.12$
The profit from selling 68 bananas is 27.12 dollars.

Step2: Find $x$ when $P(x)=41.28$

Set up the equation $0.59x - 13 = 41.28$.
Add 13 to both sides: $0.59x=41.28 + 13$
$0.59x=54.28$
Divide both sides by 0.59: $x=\frac{54.28}{0.59}\approx92$
The profit from selling 92 bananas is 41.28 dollars.

Answer:

The profit from selling 68 bananas is 27.12 dollars.
The profit from selling 92 bananas is 41.28 dollars.