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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?

Which equation below represents the inverse function tc which takes the cricket chirps per minute as input and returns as output the temperature in degrees Fahr class=

Respuesta :

I believe that the answer to the question is "A"

I'm not good at math, but you should just try plugging and chugging.

Answer:

Inverse function : [tex]T(c)=\frac{c+160}{4}[/tex]

Step-by-step explanation:

Given : [tex]C(t)=4t-160[/tex]

To Find : Inverse function T(c)

Solution:

[tex]C(t)=4t-160[/tex]

Find the value of t

[tex]\Rightarrow C(t)+160=4t[/tex]

[tex]\Rightarrow \frac{C(t)+160}{4}=t[/tex]

Now we are given taht T(c) denotes the inverse of given function.

So, inverse function : [tex]T(c)=\frac{c+160}{4}[/tex]

Thus Option A is true

Hence inverse function : [tex]T(c)=\frac{c+160}{4}[/tex]