Question

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

Answer 1

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

Answer 2

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.