Chapter 1.1, Problem 4R

To determine

The average number of breathes that the fish takes per minute.

Answer to Problem 4R

The average breath the fish takes per minute is $\boxed{B_{\text{avg}}=67.6\text{ breaths per minute}}$ .

Explanation of Solution

Given:

The fish takes breath in minute 1: 65 breaths, minute 2:73 breaths, minute 3: 67 breaths, minute 4: 71 breaths, minute 5: 62 breaths.

Formula used:

The expression for average breaths per minute is,

  $B_{avg}=\frac{B_{\min 1}+B_{\min 2}+B_{\min 3}+B_{\min 4}+B_{\min 5}}{5}$....................(1)

Here, $B_{\text{avg}}$ is the average breath per minute, $B_{\text{min1}}$ is the breath in minute 1, $B_{\text{min2}}$ is the breath in minute 2, $B_{\text{min3}}$ is the breath in minute 3, $B_{\text{min4}}$ is the breath in minute 4, $B_{\text{min5}}$ is the breath in minute 5.

Calculation:

Substitute 65 for $B_{\text{min1}}$ , 73 for $B_{\text{min2}}$ , $B_{\text{min3}}$ 67 for, 71 for $B_{\text{min4}}$ , 62 for $B_{\text{min5}}$ in equation (1)

  $\begin{array}{l}{B}_{avg}=\frac{65+73+67+71+62}{5}\\ B_{avg}=\frac{338}{5}\\ \boxed{B_{avg}=67.6\text{ breaths per minute}}\end{array}$

Conclusion:

Hence, the average breaths the fish takes per minute is $\boxed{B_{avg}=67.6\text{ breaths per minute}}$ .