Question

The fish will take 18 minutes to reach a depth of -37.8 meters. This is calculated by setting up an equation based on the fish's initial depth of -10.8 meters and its descent rate of 1.5 meters every 2 minutes. By solving the equation -10.8 + 1.5t = -37.8, where 't' represents the time in minutes, we find that 't' is equal to -18. This means that it will take the fish 18 minutes to reach the desired depth.

In summary, the fish will take 18 minutes to reach a depth of -37.8 meters by descending at a rate of 1.5 meters every 2 minutes.

Answer 1

can you give me a summary of how you got the answer?

Answer 2

This is achieved by solving the equation -10.8 + 1.5t = -37.8, where 't' represents the time in minutes.

Answer 3

Certainly! Here is a summary of how we arrived at the answer of 18 minutes:

1. We set up an equation to represent the fish's descent: -10.8 + 1.5t = -37.8.
- The initial depth of the fish is -10.8 meters.
- The fish descends at a rate of 1.5 meters every 2 minutes.
- 't' represents the time in minutes.

2. We need to solve the equation to find the value of 't' when the fish reaches the desired depth of -37.8 meters.

3. By simplifying and isolating 't' in the equation, we get 1.5t = -27.

4. Dividing both sides of the equation by 1.5, we find that t = -18.

5. Since we are dealing with time, a negative value of 't' does not make sense in this context. Therefore, we consider the positive value of 't', which is 18.

6. Therefore, it will take the fish 18 minutes to reach the desired depth of -37.8 meters.