Question

. The rate r at which a cricket chirps depends linearly on the temperature t. If the temperature
is 50 degrees Fahrenheit, then the cricket chirps at the rate of 20 chirps per minute. Moreover,
a rise in temperature of 10 degrees Fahrenheit causes the rate at which the cricket chirps to
increase by 40 chirps per minute.
Find a formula for r as a function of t.

Answer 1

slope = 10 degrees /50 chirps per min

t = (10/50) *r + b

when t = 50, r =20

so t - (1/5)r = b
b = t - (1/5)r
= 50 - (1/5)20
= 50 - 4
= 46

Ans.
t = (1/5)r + 46