Question

Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship is very close to being linear. At 70 degrees the cricket chirps 140 times, and at 80 degrees the cricket chirps 160 times.

Model the situation with an equation in Slope Intercept Form​

please answer this correctly​

Answer 1

`\underline {\boxed{y = 2x}}`

Explanation:

`the \: slope \: intercept \: form \: is \: given \: by \\ y = mx \: + c \\ but \: m = (y_(2) -y_(1))/(x_(2) - x_(1)) \\ (x_(1), \: y_(1)) = (70, \:140) \\ (x_(2), \: y_(2)) = (80, \:160) \\ m = (160 - 140)/(80 - 70) = (20)/(10) \\ \underline {\boxed{m = 2}} \\using \: point \: (1) \to \: (x_(1), \: y_(1)) = (70, \:140) \\ if \: y = mx + c \\ 140 = 2(70) + c \\ c = 140 - 140 \\ \underline {\boxed{c = 0}} \\ hence \: the \: required \: equation \: i s \: \to \\ \underline {\boxed{y= 2x + 0}}`

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