A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth
A: The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
B: The quotient that describes the rate of change in the squirrel’s height above the ground is −19.05 feet/second.
C: The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second
D: The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
To find the rate of change in the squirrel's height above the ground, we need to divide the change in height by the time taken.
The squirrel starts on a perch 100 feet above the ground and moves down to its stored acorns 45 feet above the ground. Therefore, the change in height is 100 - 45 = 55 feet.
The time taken is given as 5.25 seconds.
To find the rate of change, we divide the change in height by the time taken: 55 feet / 5.25 seconds ≈ 10.48 feet/second.
Therefore, the correct answer is A: The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
A scuba diver was at a depth of 15 meters below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest
A: The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
B: The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second
C: The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
D: The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second
To find the rate of change in the diver's depth, we need to divide the change in depth by the time taken.
The diver starts at a depth of 15 meters below the surface and descends to a depth that is 10 meters lower. Therefore, the change in depth is -10 meters (negative because the diver is going deeper).
The time taken is given as 10.1 seconds.
To find the rate of change, we divide the change in depth by the time taken: -10 meters / 10.1 seconds ≈ -0.99 meters/second.
Therefore, the correct answer is A: The quotient that describes the average rate of change for the diver’s depth is -0.99 meters/second.
Solve using division of rational numbers. If a car’s value decreases by $4,000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)
A: -$333.33
B: -0.003
C: 0.003
D: $333.33
To find the value decrease per month, we need to divide the total value decrease by the number of months.
The car's value decreases by $4,000 in the first 12 months.
To find the value decrease per month, divide $4,000 by 12: $4,000 ÷ 12 ≈ -$333.33.
Therefore, the correct answer is A: -$333.33.
It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?
A: 4 ounces
B: -4 ounces
C: 0.4 ounces
D: -0.4 ounces
To find the change in the amount of water in the canteen every 10 minutes, we need to divide the recommended amount of water per hour by the number of 10-minute intervals in an hour.
The recommended amount of water per hour is 24 ounces.
To find the change in the amount of water every 10 minutes, divide 24 ounces by 6 (since there are 6 intervals of 10 minutes in an hour): 24 ounces / 6 = 4 ounces.
Therefore, the correct answer is A: 4 ounces.