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 $T=0.35 c+40$ , 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 $T=95 ?$ $\newline$ The number of times the cricket could be expected to chirp in one minute if it's $95^{\circ} \mathrm{F}$ . $\newline$ 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 o times per minute. $\newline$ The expected temperature in degrees Fahrenheit if the cricket has chirped $95$ times per minute.

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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=0.35 c+40

, 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=95 ?

\newline

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

95^{\circ} \mathrm{F}

\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 o times per minute.

\newline

The expected temperature in degrees Fahrenheit if the cricket has chirped

95

times per minute.

Understand Problem: Understand the given formula and what is asked. $\newline$ The formula $T=0.35c+40$ relates the temperature ( $T$ ) in degrees Fahrenheit to the number of cricket chirps per minute ( $c$ ). We are asked to find the meaning of the $c$ -value when $T=95$ degrees Fahrenheit.
Solve for c: Solve the formula for $c$ when $T=95$ . We have the formula $T=0.35c+40$ and we need to find $c$ when $T=95$ . $95 = 0.35c + 40$ Subtract $40$ from both sides to isolate the term with $c$ . $95 - 40 = 0.35c$ $55 = 0.35c$ Now, divide both sides by $0.35$ to solve for $c$ . $T=95$ $1$
Calculate $c$ : Calculate the value of $c$ . $c = \frac{55}{0.35}$ $c \approx 157.14$ Since the number of cricket chirps per minute must be a whole number, we can round this to the nearest whole number. $c \approx 157$
Interpret Result: Interpret the result. $\newline$ The $c$ -value when $T=95$ degrees Fahrenheit is approximately $157$ . This means that the number of times the cricket could be expected to chirp in one minute if it's $95$ °F is about $157$ chirps. This answers the question prompt.