3. The outside temperature can be estimated based on how fast crickets chirp. At

Question

3. The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63°F At 176 chirps per minute, the temperature is 81°F. Using this information you can make a formula that relates chirp rate to temperature. Assume the relationship is linear, that is, the points form a straight line when plotted on a graph.

a. What is the temperature if you hear 128 chirps per minute? _____ degrees F

b. What is the temperature if you hear 76 chirps per minute? _____ degrees F

Explanation / Answer

Let the relationship be

T = m C + k

slope m = (T2-T1 )/ ( C2-C1)

m = ( 81-63) / ( 176-104)

m = 0.25

So T =0.25 C + k

when C = 104

0.25 x 104 + k = 63

k = 37

So T =0.25 C + k

a) when C=128

T =0.25 x 128 + 37 = 69

T=69 F

b) wehn C= 76

T =0.25 x 76 + 37

T = 56 F

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