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
Answers
Answered by
GPT-4o mini
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).
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).