Multiply & Divide Rational Numbers Unit Test
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Question
A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.(1 point)
The quotient that best represents the rate of change in the plane’s altitude is
feet/minute.
To find the rate of change in the plane's altitude, we need to divide the change in altitude (4,000 feet) by the time it took to make the adjustment (3.5 minutes).
So the quotient that represents the rate of change in the plane's altitude is:
4000 feet / 3.5 minutes
To find this quotient, we can divide 4000 by 3.5:
4000 / 3.5 = 1142.8571428571427
Rounded to the nearest hundredth, the rate of change in the plane's altitude is approximately 1142.86 feet/minute.
To find the rate of change in the plane's altitude, we need to divide the change in altitude by the time it takes to make the adjustment.
Given:
Change in altitude = 4,000 feet (since the plane is descending)
Time taken = 3.5 minutes
To calculate the rate of change, we divide the change in altitude by the time:
Rate of change = Change in altitude / Time taken
Rate of change = 4,000 feet / 3.5 minutes
To get the answer in feet per minute, we divide 4,000 by 3.5:
Rate of change = 1142.86 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 1142.86 feet/minute.
To find the rate of change in the plane's altitude, we need to determine the quotient that represents the change in altitude per minute.
Given information:
- The plane descends by 4,000 feet.
- It takes the pilot 3.5 minutes to make this adjustment.
To find the rate of change, we can divide the change in altitude (4,000 feet) by the time taken (3.5 minutes):
Rate of change = Change in altitude / Time taken
Substituting the values:
Rate of change = 4,000 feet / 3.5 minutes
Now, to find the quotient to the nearest hundredth, we divide 4,000 by 3.5:
Rate of change = 1,142.86 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 1,142.86 feet/minute.