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.
To interpret the quotient that describes the rate of change in the squirrel's height above the ground, we divide the change in height by the time it takes to make the change.
The change in height is from a perch 100 feet above the ground to a hole that is 45 feet from the ground, so the change in height is 100 - 45 = 55 feet.
The time it takes for the squirrel to make the change in height is 5.25 seconds.
Now, we can calculate the quotient:
Rate of change = Change in height / Time taken
Rate of change = 55 feet / 5.25 seconds
Rate of change ≈ 10.48 feet per second
Therefore, the quotient represents that the squirrel is descending at a rate of approximately 10.48 feet per second.
The correct quotient that describes the rate of change in the squirrel's height above the ground is 10.48 feet/second.
To interpret the quotient that describes the average rate of change in the dolphin's position, we divide the change in position by the time it takes to make the change.
The change in position is from an altitude of 3.5 meters above the surface of the water to a depth of 10 meters below the surface of the water, so the change in position is 3.5 + (-10) = -6.5 meters.
The time it takes for the dolphin to make the change in position is 12.5 seconds.
Now, we can calculate the quotient:
Rate of change = Change in position / Time taken
Rate of change = -6.5 meters / 12.5 seconds
Rate of change ≈ -0.52 meters per second
Therefore, the quotient represents that the dolphin's position is changing at an average rate of approximately -0.52 meters per second.
To interpret the quotient that describes the average rate of change in the diver's depth, we divide the change in depth by the time it takes to make the change.
The change in depth is a descent of 10 meters.
The time it takes for the diver to make the descent is 10.1 seconds.
Now, we can calculate the quotient:
Rate of change = Change in depth / Time taken
Rate of change = -10 meters / 10.1 seconds
Rate of change ≈ -0.99 meters per second
Therefore, the quotient represents that the diver's depth is changing at an average rate of approximately -0.99 meters per second.
To find out how much the car's value decreases per month, we divide the total decrease in value by the number of months.
The car's value decreases by $4000 in the first 12 months.
We divide $4000 by 12 to find the decrease per month:
Decrease per month = -$4000 / 12
Decrease per month ≈ -$333.33
Therefore, the value of the car decreases by approximately -$333.33 per month.
To find out how much the amount of water in the canteen should change every 10 minutes, we need to determine the proportion of water that should be consumed in a 10-minute period.
A hiker is recommended to drink 24 ounces of water per hour. To find out how much should be consumed in 10 minutes, we divide 24 by 60 (minutes per hour) and multiply the result by 10 (minutes):
Amount of water per 10 minutes = (24 ounces / 60 minutes) * 10 minutes
Amount of water per 10 minutes = 4 ounces
Therefore, the amount of water in the canteen should decrease by 4 ounces every 10 minutes.
question 1: 1/2
question 2: 8
question 3: -5/12
question 4: 1 ounce(s)
question 5: $100
only for connexus these are the right answers is promis.
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 -19.05 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.
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The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
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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 1.08 meters/second.
The scuba diver was at a depth 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 scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.