To find the change in altitude of the airplane over a period of 28 seconds, we can use the formula:
\[ \text{Change in altitude} = \text{Rate of change} \times \text{Time} \]
Given that the altitude is decreasing at a rate of 42 feet per second and the time period is 28 seconds, we can plug in the values:
\[ \text{Change in altitude} = -42 , \text{feet/second} \times 28 , \text{seconds} \]
Calculating this gives:
\[ \text{Change in altitude} = -42 \times 28 = -1,176 , \text{feet} \]
Thus, the change in altitude of the airplane over the period of 28 seconds is \(-1,176\) feet.
The correct answer is:
B. -1,176 feet