To find the rate of change in the balloon’s altitude, we first need to determine the total change in altitude and then divide that by the total time taken.
-
Change in altitude:
The balloon rises from 50 feet to 200 feet.
\[ \text{Change in altitude} = 200 \text{ feet} - 50 \text{ feet} = 150 \text{ feet} \] -
Total time taken:
The time taken is 7 minutes. -
Rate of change:
\[ \text{Rate of change} = \frac{\text{Change in altitude}}{\text{Time}} = \frac{150 \text{ feet}}{7 \text{ minutes}} \approx 21.43 \text{ feet per minute} \]
Thus, the rate of change in the balloon’s altitude is approximately 21.43 feet per minute.
This can be represented as a rational number in the form of a fraction:
\[ \frac{150}{7} \text{ feet per minute} \]
The correct response from the given options is 21.43 feet per minute.
1 answer