At 88°F, a certain insect chirps at a rate of 101 times per minute, and at 94°F, they chirp 131 times per minute. Write an equation in slope-intercept form that represents the situation

Answer 1

chirps are a function of temperature

C(T) = mT + b where m=slope and b = the y or C intercept

Consider the given information as 2 points on a line: (88,101) and (94,131)

the slope = m = (131-101)/(94-88) = 30/6 = 5

C =5T + b. Plug in either point to solve for b

101= 5(88) + b

b = 101-440 = - 339

C(T) = 5T -339 where 5=slope and -339 = the y intercept