Lee Q hm.lumenlearning.com/assessment/showtest.phpaction skipsto-4 Linear Applic

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Lee Q hm.lumenlearning.com/assessment/showtest.phpaction skipsto-4 Linear Application Problems Messages Due Sun 02/25/2018 1159 pm Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at different rates depending on the temperature. The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all below 35 degrees and at 70 degrees they chirp about 126 times per minute. A) Express the number of chirps, C, as a function of the temperature, T. Be sure to use function notation. B) How many chirps per minute will crickets make at 85 degrees? Get help: Video Preview Points possble: 2 This is attempr 1 of 3 Submit jump to Answer

Explanation / Answer

given,  

C is linearly dependent on T

C=a*T ( A is constant)

for T<35 degree F , C=0

for T=70 degree F, C = 126 chirps per minute

=> 126=a*70

a=1.8

so,

A) f(T) = 0 T<35 degree F

F(T) = 1.8T T>=35 degree F

B) at 85 degree F

C=1.8*85

=153 chirps per minute (answer)

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