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.
This is achieved by solving the equation -10.8 + 1.5t = -37.8, where 't' represents the time in minutes.
can you give me a summary of how you got the answer?
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.
To calculate the time it takes for the fish to reach a depth of -37.8 meters, we can use the equation -10.8 + 1.5t = -37.8, where 't' represents the time in minutes.
Now, let's solve the equation step by step:
-10.8 + 1.5t = -37.8
Add 10.8 to both sides of the equation to isolate 1.5t:
1.5t = -37.8 + 10.8
1.5t = -27
Divide both sides by 1.5 to solve for 't':
t = -27 / 1.5
t = -18
Therefore, the time it will take for the fish to reach a depth of -37.8 meters is 18 minutes.
To calculate the time it takes for the fish to reach a depth of -37.8 meters, you can set up an equation based on the fish's initial depth and descent rate. In this case, the fish starts at a depth of -10.8 meters and descends at a rate of 1.5 meters every 2 minutes.
Let's use 't' to represent the time in minutes it takes for the fish to reach the desired depth. The equation is:
initial depth + (descent rate per minute) * t = desired depth
Plugging in the values:
-10.8 + (1.5/2) * t = -37.8
By solving this equation, you can find the value of 't' which represents the time it takes for the fish to reach the desired depth.
Solving the equation:
-10.8 + (1.5/2) * t = -37.8
Multiply (1.5/2) with 't':
-10.8 + 0.75 * t = -37.8
Move -10.8 to the other side:
0.75 * t = -37.8 + 10.8
0.75 * t = -27
Divide both sides by 0.75:
t = -27 / 0.75
t = -36
The solution 't' comes out to be -36 minutes, which means the fish would have reached the desired depth in -36 minutes. However, since time cannot be negative in this context, we take the absolute value:
t = |-36|
t = 36
So, the fish will take 36 minutes to reach a depth of -37.8 meters.