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P(m)=m/5+8

which equation below represents the inverse function M(p), which takes the number of problems completed as input and returns the number of minutes worked?

A. M(p)= 40p-5
B. M(p)= 5p+40
C. M(p)= 5p-40
D. M(p)= 40p+5

2 Answers

3 votes

M(p) = 5p-40 (apex) ....

User Luis Milanese
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Answer:

C. M(p)= 5p-40

Explanation:

Here, the given function,


P(M)=(M)/(5)+8


\implies P=(M)/(5)+8


P-(M)/(5)=8 ( Subtracting
(M)/(5) on both sides )


-(M)/(5)=8-P ( Subtracting P on both sides )


(M)/(-5)=8-P


M=-5(8-P) ( By cross multiplication )


M=-40+5P ( By distributive property )


M=5P-40 ( Commutative property )


\implies M(P) = 5P-40

Which is the required function in which the input value is number of problems.

Option C is correct.

User Brett Cannon
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6.8k points