contestada

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

Respuesta :

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

Answer:

C. M(p)= 5p-40

Step-by-step explanation:

Here, the given function,

[tex]P(M)=\frac{M}{5}+8[/tex]

[tex]\implies P=\frac{M}{5}+8[/tex]

[tex]P-\frac{M}{5}=8[/tex]   ( Subtracting [tex]\frac{M}{5}[/tex] on both sides )

[tex]-\frac{M}{5}=8-P[/tex]  ( Subtracting P on both sides )

[tex]\frac{M}{-5}=8-P[/tex]

[tex]M=-5(8-P)[/tex]           ( By cross multiplication )

[tex]M=-40+5P[/tex]     ( By distributive property )

[tex]M=5P-40[/tex]       ( Commutative property )

[tex]\implies M(P) = 5P-40[/tex]

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

Option C is correct.

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