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) = 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?

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

T is a linear function of C  ==>  T = mC + b     Each additional chirp C corresponds to an increase in T of 0.25  ==>  m = 0.25    T = 52 when C = 20  ==>  52 = 0.25(20) + b  ==>  b = 52 - 5 = 47   So T = 0.25C + 47    When C = 100 then T = 0.25(100) + 47 = 25 + 47 = 72   When C = 120 then T = 0.25(120) + 47 = 30 + 47 = 77 so the temperature range is between 72 and 77 when there are between 100 and 120 chirps per minute