It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.

1. Based on this data, determine a linear equation that will output the number of chirps in a minute, n, given the temperature in degrees, t.

Question

Luciana Berry

Mathematics

8 January, 02:48

It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.

1. Based on this data, determine a linear equation that will output the number of chirps in a minute, n, given the temperature in degrees, t.

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Answers (1)

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Sidney Morrison · Answer 1

Linear equation n = 4t-148

Step-by-step explanation:

we have to find the equation, that's why we select the data

(t, n) = (50, 52) and (14,148)

we look as follows

n-52 = ((148-52) / (14-50)) * (t-50)

We perform the indicated operations

n-52 = (96/24) * (t-50)

n-52 = 4 (t-50)

finally we get the result

n = 4t-148