There is a linear relationship between the number of chirps made by a cricket and the air temperature . A least-squares fit of data collected by a biologist yields the equation:
temp`(""^(@)F)` = 22.8 + (3.4)(#chirps/min)
What is the estimated increase in temperature that corresponds to an increase of 5 chirps per minute ?

Options

A. `3.4^(@)F`
B. `17.0^(@)F`
C. `22.8^(@)F`
D. `26.2^(@)F`

Explanation

To solve the problem, we need to determine the estimated increase in temperature corresponding to an increase of 5 chirps per minute based on the given linear relationship.

### Step-by-Step Solution:

1. **Write down the given equation**:
The relationship between temperature (in degrees Fahrenheit) and chirps per minute is given by the equation:
\[ \text{temp} (^\circ F) = 22.8 + 3.4 \times (\text{chirps/min}) \]

2. **Identify the change in temperature per chirp**:
From the equation, we can see that for each additional chirp per minute, the temperature increases by 3.4 degrees Fahrenheit. This is the coefficient of chirps in the equation.

3. **Calculate the increase in temperature for 5 chirps**:
To find the increase in temperature for an increase of 5 chirps per minute, we multiply the increase per chirp by the number of chirps:
\[ \text{Increase in temperature} = 3.4 \times 5 \]

4. **Perform the multiplication**:
\[ 3.4 \times 5 = 17 \]

5. **State the final answer**:
Therefore, the estimated increase in temperature corresponding to an increase of 5 chirps per minute is:
\[ \text{Increase in temperature} = 17 \text{ degrees Fahrenheit} \]

### Summary:
The estimated increase in temperature that corresponds to an increase of 5 chirps per minute is **17 degrees Fahrenheit**.