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W1: Problem 2 Previous ProblemProblem ist Next Problem 1 point) Biologists have

ID: 2889868 • Letter: W

Question

W1: Problem 2 Previous ProblemProblem ist Next Problem 1 point) Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly inear. A cricket produces 114 chirps per minute at 65 degrees Fahrenheit and 172 chirps per minute at 89 degrees Fahrenheit. Find a linear equation that models the temperature T as a function of the number of chirps per minute N T(N) = If the crickets are chirping at 157 chirps per minute, estimate the temperature: Temperature Note: You can eam partial credit on this problem.

Explanation / Answer

(114,65),(172,89)

Slope=(89-65)/(172-114)=24/58=12/29

Using point slope form which is

y-y1=m(x-x1)

y-65=(12/29)(x-114)

y=(12/29)x+(517/29)

T(N)=(12/29)N+(517/29)

For the second part

T(157)= (12/29)157 +(517/29)

=83degree Fahrenhite approx