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

Question

Mathematics

Guest

26 May, 14:50

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

+3

Answers (2)

Know the Answer?

Caroline Wong · Answer 1

Answer is D I believe so

Cullen Pittman · Answer 2

D. m (p) = 6p - 54

Step-by-step 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