Question

Steve completed 9 homework problems in class. The function p(m) relates the time (in minutes) Steve 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/6 + 9

Which equation represents the inverse function m(p), which uses problems completed as the input and gives minutes worked as the output?

A. m(p) = 54p + 6
B. m(p) = 6p + 54
C. m(p) = 54p - 6
D. m(p) = 6p - 54​

Answer 1

Answer is D I believe so

Answer 2

D. m(p) = 6p - 54​

Explanation:

substitute p(m) for y and p for x

then switch x and y

y=x/6 + 9

then switch

x=y/6 + 9

then solve to get the answer

which is y=6x-54

or m(p) = 6p - 54​