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Camden needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The studio charges $50 per hour of use and the total cost charged for 5 hours is $700. Write an equation for the function P ( t ) , P(t), representing the amount of money Camden would have to pay to use the studio for t t hours.

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Answer:
P(t)=450+50t

Explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge


\therefore 700=x+50* 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450

For t hours, studio charges


\Rightarrow P(t)=450+50t

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