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?
a) t(c) = (c+5) / 200
b) t(c) = (c-5) / 200
c) t(c) = (c-200) / 5
d) t(c) = (c+200) / 5

d)

Step-by-step explanation:

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

To find the inverse function of C(t) [named as T(c), rewrite the above equation as

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

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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step-by-step explanation:

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