Answer :
The hot air balloon's rate of descent is 350 feet per minute, calculated as the change in altitude (1750 feet) divided by the change in time (5 minutes).
To find the rate of change in altitude, we use the formula:
[tex]\[ \text{Rate of change} = \frac{\text{Change in altitude}}{\text{Change in time}} \][/tex]
Given:
- Change in altitude: [tex]\( 3000 \text{ feet} - 1250 \text{ feet} = 1750 \text{ feet} \)[/tex]
- Change in time: 5 minutes
Substitute the given values into the formula:
[tex]\[ \text{Rate of change} = \frac{1750 \text{ feet}}{5 \text{ minutes}} \][/tex]
[tex]\[ \text{Rate of change} = 350 \text{ feet per minute} \][/tex]
Therefore, the rate of change in altitude is 350 feet per minute.
