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Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit

User QuantumRich
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Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:


image

Explanation:

Given


image --- concert profit


image --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:


image


image

Factorize


image


image

Rewrite as:


image

User SebastianH
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