Question
The altitude of an airplane is decreasing at a rate of 45 feet per second. What is the change in altitude of the airplane over a period of 25 seconds?
A.
70 feet
B.
1,125 feet
C.
-1,125 feet
D.
-70 feet
A.
70 feet
B.
1,125 feet
C.
-1,125 feet
D.
-70 feet
Answers
GPT-4o mini
To calculate the change in altitude of the airplane over a period of 25 seconds, you can use the formula:
\[
\text{Change in altitude} = \text{rate of change} \times \text{time}
\]
In this case, the rate of change is -45 feet per second (since the altitude is decreasing), and the time is 25 seconds.
Now, calculate the change in altitude:
\[
\text{Change in altitude} = -45 \, \text{feet/second} \times 25 \, \text{seconds} = -1125 \, \text{feet}
\]
So, the correct answer is:
C. -1,125 feet
\[
\text{Change in altitude} = \text{rate of change} \times \text{time}
\]
In this case, the rate of change is -45 feet per second (since the altitude is decreasing), and the time is 25 seconds.
Now, calculate the change in altitude:
\[
\text{Change in altitude} = -45 \, \text{feet/second} \times 25 \, \text{seconds} = -1125 \, \text{feet}
\]
So, the correct answer is:
C. -1,125 feet
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