Question

The function C(t) below relates outside temperature in degrees Fahrenheit to the number of cricket chirps per minute.

It takes as input the temperature in degrees Fahrenheit, and returns as output the number of cricket chirps per minute occurring at that time.

C(t) = 5t - 200

Which equation below represents the inverse function T(c), which takes the cricket chirps per minute as input and returns as output the temperature in degrees Fahrenheit?

Answer 1

@mathmale

Answer 2

would it be c-200/5?

Answer 3

c-200/5 is close, but 200 should have been added instead of subtracted

Answer 4

okay so its c+200/5

Answer 5

Yep

Answer 6

when when i switch the x and y values do i do the opposite of the signs too?

Answer 7

No

Answer 8

when why did have to change it?

Answer 9

Harry: Have you written down those steps I gave you for finding the inverse of a given function? You are to find the inverse function of C(t)=5t-200.

As before:
1. Replace C(t) with y
2. Interchange y and t

there were two more steps. I fully expect you to remember them by now.

Answer 10

like for example if i had C(n) = 15n + 30. would it be c-30/15 or c+30/5?

Answer 11

It would be c - 30 because we have to subtract 30 to get it to the other side

Answer 12

and what if i had A(b)=10 times b+7 over 2

Answer 13

so would you divide 10 by 2 and get 5

Answer 14

and get B(a)=a/5 -7?

Answer 15

@sleepyjess

Answer 16

I'm not understanding the equation, could you use the equation editor to write it?