Question

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

Answer 1

C(t) = 5t - 200
T = 5t - 200
5t = T + 200
t = (T + 200)/5
T(c) = (T + 200) / 5

Answer 2

Answer: d) $T(c)=\frac{(c+200)}{5}$

Step-by-step explanation:

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

$C(t)=5t-200$

To find the inverse function of C(t) [named as T(c), rewrite the above equation as $c=5t-200\\\Rightarrow5t=c+200\\\Rightarrow\ t=\frac{c+200}{5}$

Now, replace 't' by T(c), we get

$T(c)=\frac{(c+200)}{5}$