Multiply & Divide Rational Numbers Unit Test 12 of 1512 of 15 Items 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.
The rate of change in the plane's altitude can be calculated by dividing the change in altitude by the time taken. In this case, the change in altitude is 4,000 feet and the time taken is 3.5 minutes.
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes
To find the quotient to the nearest hundredth, we can divide 4000 by 3.5 and round the result.
Rate of change = 1142.86 feet/minute
Therefore, the quotient that best represents the rate of change in the plane's altitude is 1142.86 feet/minute.
Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means.(4 points) BoldItalicUnderlineIncrease indentDecrease indentFormula keypad
To find how long it will take for the fish to reach a depth of -37.8 meters, we can set up an equation.
Let t be the time in minutes it takes for the fish to reach -37.8 meters.
We know that every 2 minutes, the fish descends another 1.5 meters. So, the change in depth is -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
We can now set up the equation:
-27 meters = -1.5 meters/minute * t minutes
To solve for t, we divide both sides of the equation by -1.5 meters/minute:
-27 meters / -1.5 meters/minute = t minutes
Since the meters cancel out, we are left with:
t = 18 minutes
Therefore, it will take the fish 18 minutes to reach a depth of -37.8 meters.
This means that after 18 minutes, the fish will be 37.8 meters below sea level.
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 that adjustment.
The change in altitude is given as 4,000 feet (since the plane flew 4,000 feet lower).
The time taken to make this adjustment is 3.5 minutes.
To calculate the rate of change, we divide the change in altitude by the time taken:
Rate of change = Change in altitude / Time taken
Rate of change = 4,000 feet / 3.5 minutes
Calculating this division, the quotient is approximately 1142.86 feet per minute.
Rounding the quotient 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 taken.
In this case, the change in altitude is 4,000 feet, as the plane is flying 4,000 feet lower. The time taken is 3.5 minutes.
To calculate the rate of change, we divide the change in altitude by the time taken:
Rate of change = Change in altitude / Time taken
Rate of change = 4,000 feet / 3.5 minutes
To find this quotient, we can do the following division:
4,000 ÷ 3.5
Now, let's perform the division to get the quotient:
4,000 ÷ 3.5 = 1142.85714286
Rounding this value to the nearest hundredth gives us:
Rate of change = 1142.86 feet/minute
Therefore, the rate of change in the plane's altitude, to the nearest hundredth, is 1142.86 feet/minute.