The football team is selling t-shirts to raise money for new equipment. The cost of each t-shirt is $2.50 and the t-shirt company charges a print fee of $25. The team will sell shirts for $12 each. Consider the following functions below that represent the cost, C (x), and revenue, R (x), of shirts sold.

C (x) = 2.5x + 25

R (x) = 12x

Write an equation that best represents the profit function of how much the basketball team will make?

Question

Mathematics

Guest

24 August, 16:09

The football team is selling t-shirts to raise money for new equipment. The cost of each t-shirt is $2.50 and the t-shirt company charges a print fee of $25. The team will sell shirts for $12 each. Consider the following functions below that represent the cost, C (x), and revenue, R (x), of shirts sold.

C (x) = 2.5x + 25

R (x) = 12x

Write an equation that best represents the profit function of how much the basketball team will make?

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Answers (1)

Know the Answer?

Samantha Bartlett · Answer 1

Answer: P (x) = 9.5 x - 25

Step-by-step explanation:

Hi, to answer this question we have to write a profit function with the information given.

Profit is equal to: Revenue - Cost.

Replacing with the equations given:

P (x) = R (x) - C (x) = 12x - (2.5x + 25)

Adding alike terms (x) and simplifying:

P (x) = 12x - 2.5x - 25

P (x) = 9.5 x - 25

Feel free to ask for more if needed or if you did not understand something.