A scuba diver was at the debt the 15 M below the surface when she saw something interesting about 10 M lower she made The Descent in 10.1 seconds interpret the quotient to describe the rate of change in the diver's death a negative 0.99 B 0.99 c - 0.49 d -3.47

Answer 1

To interpret the information given:

1. The diver starts at a depth of 15 meters below the surface.
2. She descends to a depth that is 10 meters lower than her starting point, which means she reaches a depth of \( 15 + 10 = 25 \) meters (still below the surface).
3. The total depth change is from 15 meters to 25 meters, which is a change of \( 25 - 15 = 10 \) meters.
4. The time taken for this descent is 10.1 seconds.

To find the rate of change in depth (the quotient), we can use the formula:

\[ \text{Rate of change} = \frac{\text{Change in depth}}{\text{Time}} = \frac{\text{Final depth} - \text{Initial depth}}{\text{Time}} = \frac{25 - 15}{10.1} \]

Calculating this gives:

\[ \text{Rate of change} = \frac{10}{10.1} \approx 0.9901 , \text{meters per second} \]

Since depth below the surface is often considered negative in this context, the rate of change can be expressed negatively:

\[ \text{Rate of change} \approx -0.9901 , \text{meters per second} \]

Among the options provided:

• a) -0.99
• b) 0.99
• c) -0.49
• d) -3.47

The closest correct answer is a) -0.99. This represents the rate at which the diver is increasing her depth, indicating a descent (hence the negative value).