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.(1 point)
Responses
The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is negative 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is −19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is negative 19.05 feet/second.
The correct response is:
The quotient that describes the rate of change in the squirrel’s height above the ground is −10.48 feet/second.
A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is −0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is negative 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is −1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is negative 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second
The correct response is:
The quotient that describes the rate of change in the dolphin’s position is −0.52 meters/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 hundredth.(1 point)
Responses
The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The correct response is:
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.)(1 point)
Responses
−0.003
negative 0.003
$333.33
$333.33
0.003
0.003
−$333.33
To find the value decrease per month, we divide $4,000 by 12.
$4,000 / 12 ≈ $333.33
Therefore, the value decrease per month is $333.33.
The correct response is:
$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?(1 point)
Responses
0.4 ounces
0.4 ounces
4 ounces
4 ounces
−0.4 ounces
negative 0.4 ounces
−4 ounces
To find the amount of water the canteen should change every 10 minutes, we divide 24 ounces by 6 (since there are 6 10-minute intervals in an hour).
24 ounces / 6 = 4 ounces
Therefore, the amount of water in the canteen should change by 4 ounces every 10 minutes.
The correct response is:
4 ounces
To interpret the quotient that describes the rate of change in the squirrel's height above the ground, we need to calculate the rate of change. The rate of change is found by dividing the change in height by the elapsed time.
In this case, the squirrel starts on a perch 100 feet above the ground and moves down to its stored acorns, which are 45 feet from the ground. So the change in height is 100 - 45 = 55 feet. The elapsed time is given as 5.25 seconds.
To find the rate of change, we divide the change in height (55 feet) by the elapsed time (5.25 seconds).
55 feet / 5.25 seconds = 10.47619 feet/second.
Rounding to the nearest hundredth, we get approximately 10.48 feet/second.
Therefore, the correct answer is:
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.