Question

1. the average adult breathes in about 37 l of air every 5 minutes. what is the rate of change of volume of air?

Explanation:

Step1: Recall the formula for rate of change

The rate of change (in this case, the rate of air intake) is calculated by dividing the change in volume by the change in time. The formula is \( \text{Rate} = \frac{\text{Change in Volume}}{\text{Change in Time}} \).

Step2: Identify the values

The change in volume (\( \Delta V \)) is 37 L, and the change in time (\( \Delta t \)) is 5 minutes.

Step3: Calculate the rate

Substitute the values into the formula: \( \text{Rate} = \frac{37\ \text{L}}{5\ \text{min}} \).
Performing the division: \( \frac{37}{5} = 7.4 \). So the rate of change of volume of air is 7.4 liters per minute.

Answer:

The rate of change of volume of air is \( 7.4\ \text{L per minute} \) (or \( 7.4\ \frac{\text{L}}{\text{min}} \)).