At 66°F, a certain insect chirps at a rate of 84 times per minute, and at 70°F, they chirp 92 times per minute. Write an equation in slope-intercept form that represents the situation.

Answer 1

(66, 84), (70,92)

slope= 8/4=2

c= mt+b

84= 2(66)+b

b= 84-132=-48

c= 2t-48

or

y = 2x-48 where x=temperature and y = number of chirps per minute

84=2(66)-48=132-48=84

92=2(70)-48= 140-48=92

at 24 degrees chirps =0

at 212 degrees, chirps =0 as the insect is fried, roasted, boiled & very dead

0<t<212

0<c<424-48=376

0<c<376