Question

theres 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 = 0.27c + 31), 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 = 79?
answer
the expected temperature in degrees fahrenheit if the cricket has chirped 0 times per minute.
the change in temperature in degrees fahrenheit for each additional cricket chirp in one minute.
the expected temperature in degrees fahrenheit if the cricket has chirped 79 times per minute.
the number of times the cricket could be expected to chirp in one minute if its 79°f.

Explanation:

Step1: Identify the given formula and values

We have $T = 0.27c+31$ and $T = 79$.

Step2: Substitute $T$ value into the formula

Substitute $T = 79$ into $T = 0.27c+31$, getting $79=0.27c + 31$.

Step3: Solve for $c$

First, subtract 31 from both sides: $79 - 31=0.27c$, so $48 = 0.27c$. Then divide both sides by 0.27 to find $c=\frac{48}{0.27}$. Here, $c$ represents the number of times the cricket chirps in one - minute when the temperature is 79°F.

Answer:

The number of times the cricket could be expected to chirp in one minute if it's 79°F.