Question

Function c is defined by the equation c(n)=50+4n . It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n .

In this situation, what information would the inverse function give us?
Find the inverse function.
Find the value of c(7) . Show your reasoning and explain what the value means in this situation.

Answer 1

Given : Function c is defined by the equation c(n)=50+4n

To Find : Inverse function

value of c(7)

Solution:

c(n)=50+4n

n = 7

=> c(7) = 50 + 4(7)

=> c(7) = 50 + 28

=> c(7) = 78

c(n)=50+4n

=>c = 50 + 4n

=> 4n = c - 50

=> n = (c - 50 )/4

=> n = c/4  - 12.5

Inverse function

n(c)  = c/4 - 12.5

Verification c =78

=> n(78) = 78/4 - 12.5  = 19.5 - 12.5 = 7

=> n(78)  = 7  

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Answer 2

Answer:

n=7 which is 78

Step-by-step explanation: