Question

The temperature T in degrees Fahrenheit is (approximately) a linear function of the number C of cricket chirps per minute. Twenty cricket chirps per minute corresponds to a temperature of 42 degrees Fahrenheit. Each additional chirp per minute corresponds to an increase of 0.25 degree.(a) Use a formula to express T as linear function of C.T =(b) What temperature is indicated by 100 cricket chirps per minute?

Answer 1

a) T= 0.25 C+37

b) T= 62°F

Explanation:

Here T is a linear function of C

T= mC+b

For each additional chirp C corresponding to an increase in T of 0.25

therefore, m= 0.25

T= 42° F C=20 ( given)

therefore,

a) 42= 0.25×20+b

b= 37

therefore T= 0.25 C+37

b) now C= 100

therefore, T= 0.25×100+37 = 62°F