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?

Question

Mathematics

Guest

4 July, 07:45

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?

+2

Answers (1)

Know the Answer?

Peyton Durham · Answer 1

a) T = 0.25 C+37

b) T = 62°F

Step-by-step 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