Problema Solution
The rate at which crickets chirp is a linear function of temperature. at 59F they make 76 chirps per minute, and at 65F they make 100 chirps per minute.
a. write the particular equation expressing chirping rate (c) in terms of temperature (t).
b. predict the chirping rate for 90F.
c. how warm is it if you count 120 chirps per minute?
d. find the chirping rate intercept. what does it tell you about the real world?
e. calculate the temperature intercept. what does this number represent in the real world?
f. what is the slope? what does this number represent?
Answer provided by our tutors
A linear function resolves to the standard form y=mx+b, where 'm' is the slope and 'b' is the y-intercept. To solve the equation based on two points, using 'c' and 't' rather than 'y' and 'x':
c-76=(100-76)/(65-59)(t-59)
c=4t-160
So the equation "c=4t+160" may be used to solve for each of the questions. The slope is '4'.