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.
The quotient that best represents the rate of change in the planes altitude is __ feet/minute
The quotient that best represents the rate of change in the plane's altitude is 1142.86 feet/minute.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve
(-4) x (7/5) x (-3/5) divided by (7/15)
A. 9
B. -147/75
C. -9
D. 147/75
To solve this problem, we can follow the order of operations, which is parentheses first, then multiplication and division from left to right.
First, we simplify the expression inside the parentheses:
(-4) x (7/5) x (-3/5) = -4 x 7/5 x -3/5 = (-28/5) x (-3/5) = 84/25
Next, we multiply the result by 7/15:
(84/25) divided by (7/15) = (84/25) x (15/7) = (84 x 15) / (25 x 7) = 1260 / 175 = 9
Therefore, the quotient is 9. So, the answer is A. 9.
To find the rate of change in the plane's altitude, we need to divide the change in altitude by the time taken.
The pilot descended by 4,000 feet in 3.5 minutes.
So, the rate of change in the plane's altitude is:
4,000 feet / 3.5 minutes
Calculating this, we get:
= 1,142.86 feet/minute
Rounding this to the nearest hundredth, the quotient that best represents the rate of change in the plane's altitude is 1,142.86 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 took to make the adjustment.
The change in altitude is 4,000 feet, as the pilot decided to fly 4,000 feet lower.
The time taken is 3.5 minutes.
To find the rate of change, we divide the change in altitude by the time taken:
Rate of change = Change in altitude / Time taken
In this case:
Rate of change = 4,000 feet / 3.5 minutes
Simplifying this expression:
Rate of change ≈ 1,142.86 feet/minute
Rounding this to the nearest hundredth, the rate of change in the plane's altitude is approximately 1,142.86 feet/minute.
So, the quotient that best represents the rate of change in the plane's altitude is 1,143 feet/minute.