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 find the rate of change in the squirrel's height above the ground, we need to divide the change in height by the change in time.
The squirrel moves from a height of 100 feet to a height of 45 feet, so the change in height is 100 - 45 = 55 feet.
The squirrel takes 5.25 seconds to make this change in height.
The rate of change in the squirrel's height above the ground is 55 feet / 5.25 seconds ≈ 10.48 feet/second.
So, the rate of change in the squirrel's height above the ground is approximately 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.
To find the average rate of change in the dolphin's position, we need to divide the change in position by the change in time.
The dolphin went 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 = 13.5 meters.
The dolphin took 12.5 seconds to make this change in position.
The average rate of change in the dolphin's position is 13.5 meters / 12.5 seconds = 1.08 meters/second.
So, the average rate of change in the dolphin's position is approximately 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.
To find the rate of change in the diver's depth, we need to divide the change in depth by the change in time.
The diver descended 10 meters during the dive.
The descent took 10.1 seconds.
The rate of change in the diver's depth is 10 meters / 10.1 seconds = 0.99 meters/second.
So, the rate of change in the diver's depth is approximately 0.99 meters/second.
Solve using division of rational numbers. If a car's value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)
To find how much the car's value decreases per month, we need to divide the total decrease in value by the number of months.
The value decreases by $4000 in 12 months.
To find the decrease per month, we divide $4000 by 12 months:
$4000 / 12 = $333.33
So, the car's value decreases by approximately $333.33 per month.
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?
To find how much the amount of water in the canteen should change every 10 minutes, we need to divide the recommended water intake per hour by the number of minutes in an hour.
The recommended water intake per hour is 24 ounces.
To find the change in the amount of water every 10 minutes, we divide 24 ounces by 60 (the number of minutes in an hour) and then multiply by 10:
(24 ounces / 60 minutes) * 10 minutes = 4 ounces
So, the amount of water in the canteen should decrease by 4 ounces every 10 minutes.