Entomologists have discovered that a linear relationship exists between the rate of chirping of crickets of a certain species and the air temperature. When the temperature is 60^circ F, the crickets chirp at the rate of 24 chirps/min, and when the emperature is 90^circ F, they chirp at the rate of 114 chirps/min.

dredyue

dredyue

Answered question

2022-08-13

Entomologists have discovered that a linear relationship exists between the rate of chirping of crickets of a certain species and the air temperature. When the temperature is 60 F, the crickets chirp at the rate of 24 chirps/min, and when the emperature is 90 F, they chirp at the rate of 114 chirps/min.
(3 Find an equation giving the relationship between the air temperature x and the number or chirps per min y ofthe crickets.
y = ?
b) Use this function to determine the rate at which the crickets chirp when the temperature is 99 F.
? chirps/min

Answer & Explanation

Ashlynn Stephens

Ashlynn Stephens

Beginner2022-08-14Added 25 answers

Step 1
y 24 = 3 x 180
y 3 x 24 + 180 = 0
y 3 x + 156 = 0
3 x + y + 156 = 0
3 x y 156 = 0
Step 2
y = 3 x 156
The rate at which the chirps when the temperature is 99 F,
i.e. x = 99 F
y = ?
y = 3 x 156
= 3 × 99 156
= 297 156
= 141
y = 141

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