Bot 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. Pick one of these answers. 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 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 -0.52 meters/second.
To find the average rate of change in the dolphin's position, we need to calculate the change in position (vertical distance) divided by the time taken.
The change in position is the difference between the dolphin's highest point above the water (3.5 meters) and its lowest depth below the surface (10 meters). So, the change in position is 3.5 meters + 10 meters = 13.5 meters.
The time taken for the dolphin to go from its highest point to its lowest depth is 12.5 seconds.
Now, we can calculate the average rate of change using the formula: average rate of change = change in position / time taken.
Plugging in the values: average rate of change = 13.5 meters / 12.5 seconds = 1.08 meters/second.
Therefore, the quotient that describes the average rate of change in the dolphin's position is 1.08 meters/second.
Bot 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. Pick one of these answers. 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 -0.49 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 0.99 meters/second.
To find the average rate of change in the diver's depth, we need to calculate the change in depth divided by the time taken.
The change in depth is the difference between the initial depth (15 meters below the surface) and the final depth (10 meters below the initial depth). So, the change in depth is 15 meters - 10 meters = 5 meters.
The time taken for the diver to make the descent is given as 10.1 seconds.
Now, we can calculate the average rate of change using the formula: average rate of change = change in depth / time taken.
Plugging in the values: average rate of change = 5 meters / 10.1 seconds = 0.49 meters/second.
Since the diver is descending, the rate of change is negative. Therefore, the quotient that describes the average rate of change for the diver's depth is -0.49 meters/second.
Bot 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) pick one of these answers. $333.33 -0.003 0.003 -$333.33
To find the value decrease per month, we need to divide the decrease in value by the number of months.
The decrease in value is given as $4,000.
The number of months is given as 12 months.
Now, we can calculate the value decrease per month using the formula: decrease in value / number of months.
Plugging in the values: $4,000 / 12 = $333.33.
Therefore, the value decrease per month is $333.33.
Bot 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? pick one of these answers. -4 ounces. 4 ounces. 0.4 ounces. -0.4 ounces.
To find the amount of water the canteen should change every 10 minutes, we need to divide the recommended amount of water per hour by 6 (since there are 6 sets of 10 minutes in an hour).
The recommended amount of water per hour is given as 24 ounces.
Dividing 24 ounces by 6, we get 4 ounces.
Therefore, the amount of water in the canteen should change by 4 ounces every 10 minutes.