Question

Alex completed 7 homework problems in class. The function p(m) relates the

time (in minutes) Alex spent on his homework at home to the total number of
problems he completed. The input is the number of minutes worked. The
output is the number of problems completed.
p(m)=m/4+7
Which equation represents the inverse function m(p), which uses problems
completed as the input and gives minutes worked as the output?

Answer 1

the answer is m(p)=4p-28

Step-by-step explanation: I took the quiz and this was the answer

Answer 2

Hello!

The answer is:

D.
`m(p)=4p-28`

Why?

Inversing a function consists of switching the function (name) and the variable, so, where we have the variable (m for this case) we should rewrite it as the function (p(m)), and then, isolate the function in order to know the inverse function.

So, we are given the function:

`p(m)=(m)/(4)+7`

We know that:

`p(m)^(-1)=m(p)`

Then, rewriting and calculating, we have:

`p(m)=(m)/(4)+7`

`p=(m(p))/(4)+7\\\\p-7=(m(p))/(4)\\\\m(p)=(p-7)*4=4p-28`

Hence, we have that the answer is:

D.
`m(p)=4p-28`

Have a nice day!