Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the rate of change, we divide the change in depth by the change in time.

The change in depth is 10 meters (since the diver saw something interesting about 10 meters lower).

The change in time is 10.1 seconds.

So, the rate of change in the diver's depth is $\frac{10\text{ m}}{10.1\text{ s}} \approx \boxed{0.99}$ meters per second.

Answer 2

negative or positive?

Answer 3

positive

Answer 4

the answer is 0.99

Answer 5

The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second.

Answer 6

[AI-generated answer — Step-by-Step Bot]

To interpret the quotient that describes the rate of change in the diver's depth, we first need to find the average rate of change by dividing the change in depth by the time taken.

The change in depth is given as 10 meters (the diver went 10 meters lower).
The time taken is given as 10.1 seconds.

To find the average rate of change, we divide the change in depth by the time taken:

Average rate of change = change in depth / time taken
= 10 meters / 10.1 seconds

Calculating this, we find:

Average rate of change = 0.99010 meters/second

So, the quotient to describe the rate of change in the diver's depth is approximately 0.99 meters per second (rounded to the nearest hundredth).

Answer 7

[AI-generated answer — Explain Bot]

To interpret the quotient that describes the rate of change in the diver's depth, we need to find the average speed at which the diver descended. The formula for average speed is:

Average Speed = Total Distance ÷ Total Time

In this case, the total distance is the change in depth, which is 10 meters, and the total time is 10.1 seconds. Plugging in these values into the formula, we get:

Average Speed = 10 meters ÷ 10.1 seconds

Calculating this, we find:

Average Speed ≈ 0.9901 meters per second

Therefore, the quotient that describes the rate of change in the diver's depth is approximately 0.9901 meters per second.