Math Problem Statement

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 39 degrees and at 73 degrees they chirp about 153 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 93 degrees?

Select an answer

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

C(T) = mT + b
m = (C2 - C1) / (T2 - T1)

Theorems

Slope Formula
Linear Function Formula

Suitable Grade Level

Grades 8-10