There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula $T=0.25 c+37$ , where $T$ represents the temperature in degrees Fahrenheit and $c$ represents the number of times the cricket chirps in one minute. What is the meaning of the $c$ -value when $T=77$ ? $\newline$ The expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute. $\newline$ The change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute. $\newline$ The expected temperature in degrees Fahrenheit if the cricket has chirped $77$ times per minute. $\newline$ The number of times the cricket could be expected to chirp in one minute if it's $77^{\circ} \mathrm{F}$ .

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Q. There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula

T=0.25 c+37

, where

T

represents the temperature in degrees Fahrenheit and

c

represents the number of times the cricket chirps in one minute. What is the meaning of the

c

-value when

T=77

\newline

The expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.

\newline

The change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.

\newline

The expected temperature in degrees Fahrenheit if the cricket has chirped

77

times per minute.

\newline

The number of times the cricket could be expected to chirp in one minute if it's

77^{\circ} \mathrm{F}

Understand Formula: First, let's understand the formula $T=0.25c+37$ , where $T$ is the temperature in degrees Fahrenheit and $c$ is the number of cricket chirps per minute. We need to find the meaning of the $c$ -value when $T=77$ .
Substitute and Solve: To find the meaning of the $c$ -value when $T=77$ , we can substitute $T$ with $77$ in the formula and solve for $c$ . $77 = 0.25c + 37$
Isolate Term: Subtract $37$ from both sides of the equation to isolate the term with $c$ . $\newline$ $77 - 37 = 0.25c$ $\newline$ $40 = 0.25c$
Divide to Solve: Now, divide both sides by $0.25$ to solve for $c$ . $\newline$ c = rac{40}{0.25} $\newline$ $c = 160$
Interpret Meaning: The $c$ -value of $160$ means that the cricket is expected to chirp $160$ times per minute when the temperature is $77$ degrees Fahrenheit. This answers the question prompt.