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Vsevolod [243]
3 years ago
7

Biologists have observed that the chirping rate of crickets of a certain species is related to temperature, and the relationship

appears to be very nearly linear. A cricket produces 120 chirps per minute at 70°F and 168 chirps per minute at 80°F.
(a) Find the linear equation that relates the temperature t and the number of chirps per minute n.


(b) If the crickets are chirping at 138 chirps per minute, estimate the temperature. (Round your answer to the nearest degree.)
Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
(a) Find the linear equation that relates the temperature t and the number of chirps per minute n.
If the equation is linear, then the equation should have the form of t = mn + b

m = (80 - 70) / (168 - 120) = 5/24

t = 5/24n + b

70 = 5/24(120) + b
b = 45

t = 5/24 n + 45

<span>(b) If the crickets are chirping at 138 chirps per minute, estimate the temperature. (Round your answer to the nearest degree.)
</span><span>t = 5/24 n + 45
</span><span>t = 5/24 (138) + 45 = 74 </span>°F
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