A whale is swimming at a current depth of 15 meters below the surface. It swims up toward the surface and arrives there 9.5 seconds later. Find the quotient that best describes the rate of change in the whale's depth. Give your answer to the nearest hundredth. (1 point)

The quotient that best represents the rate of change in the whale's depth is

To find the rate of change in the whale's depth, we need to divide the change in depth by the time it took. The whale started at a depth of 15 meters and swam up to the surface, so the change in depth is 15 meters. The time taken is 9.5 seconds.

Rate of change = Change in depth / Time taken

Rate of change = 15 meters / 9.5 seconds

Rate of change ≈ 1.58 meters/second

The quotient that best represents the rate of change in the whale's depth is approximately 1.58 meters/second.

A bird is flving at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird's altitude. Give your answer to the nearest hundredth and remember that the bird is descending. (1 point)

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The quotient that best represents the rate of change in the bird's altitude is
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meters/second.

To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time it took. The bird started at an altitude of 10 meters and settled on a branch that was 3 meters above the ground, so the change in altitude is 10 - 3 = 7 meters. The time taken is 3 seconds.

Rate of change = Change in altitude / Time taken

Rate of change = 7 meters / 3 seconds

Rate of change ≈ 2.33 meters/second

The quotient that best represents the rate of change in the bird's altitude is approximately 2.33 meters/second.

Wrong try again

Apologies for the wrong response. Since the bird is descending, the change in altitude is negative.

The bird started at an altitude of 10 meters and settled on a branch that was 3 meters above the ground, so the change in altitude is -10 - 3 = -13 meters (negative because it descended).

The time taken is 3 seconds.

Rate of change = Change in altitude / Time taken

Rate of change = -13 meters / 3 seconds

Rate of change ≈ -4.33 meters/second

The quotient that best represents the rate of change in the bird's altitude is approximately -4.33 meters/second.

A bird is flying at an average altitude of 10 meters above the ground. After 3 seconds, it settles on a branch that is 3 meters above the ground. Interpret the quotient to describe the rate of change in the bird's altitude. Give your answer to the nearest hundredth and remember that the bird is descending. (1 point)

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The quotient that best represents the rate of change in the bird's altitude is
meters/second.

To find the rate of change in the bird's altitude, we need to divide the change in altitude by the time it took. The bird started at an altitude of 10 meters and settled on a branch that was 3 meters above the ground, so the change in altitude is 10 - 3 = 7 meters (negative because it descended).

The time taken is 3 seconds.

Rate of change = Change in altitude / Time taken

Rate of change = -7 meters / 3 seconds

Rate of change ≈ -2.33 meters/second (rounded to the nearest hundredth)

The quotient that best represents the rate of change in the bird's altitude is approximately -2.33 meters/second.

Solve using division of rational numbers. If a car's value decreases by $2,500 in the first 6 months, how much does the value decrease per month? (Round to the nearest hundredth

To find the value decrease per month, we need to divide the total decrease in value by the number of months. The car's value decreases by $2,500 in 6 months.

Value decrease per month = Total decrease in value / Number of months

Value decrease per month = $2,500 / 6 months

Value decrease per month ≈ $416.67 (rounded to the nearest hundredth)

The value of the car decreases by approximately $416.67 per month.

To find the rate of change in the whale's depth, we need to determine how much the depth changes in a given amount of time. In this case, the whale starts at a depth of 15 meters below the surface and rises to the surface in 9.5 seconds.

The rate of change formula is given by:

Rate of change = Change in depth ÷ Time interval

Change in depth = Depth at the end - Depth at the start
Change in depth = 0 - (-15) (since the whale starts at a depth of -15 meters)

Change in depth = 15 meters

Plugging in the values:

Rate of change = 15 meters ÷ 9.5 seconds

Calculating the quotient:

Rate of change = 1.57894736842 meters per second

Rounding to the nearest hundredth:

Rate of change ≈ 1.58 meters per second

Therefore, the quotient that best describes the rate of change in the whale's depth is 1.58.