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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) = 4t - 160. 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?

Respuesta :

Answer:

T(c)=(c+160)/4

Step-by-step explanation:


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By isolating T we will see that the inverse function is:

T(C) = C/4 + 40.

How to find the inverse function T(c)?

Here we have the linear function:

C(T) = 4*T - 160

To find the inverse function, T(C), temperature as a function of cricket chirps per minute, we only need to isolate T in one side of the function.

We will get:

C = 4*T - 160

C + 160 = 4*T

(C + 160)/4 = T

C/4 + 40 = T

Then the function T(C) can be written as:

T(C) = C/4 + 40

If you want to learn more about inverse functions:

https://brainly.com/question/14391067

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