Solve the following would problem officious when we get -10.8 m or 10.8 m below sea level every two minutes it says another 1.5 m how long will it take for the fish to reach the depth of -37.8 m show your work and write a sentence to explain what your answer means.
To solve the problem, we can set up an equation to find the time it takes for the fish to reach a depth of -37.8 m:
-10.8 m + 1.5 m * t = -37.8 m
Where t represents the time in minutes.
First, let's isolate the unknown t:
1.5 m * t = -37.8 m - (-10.8 m)
1.5 m * t = -37.8 m + 10.8 m
1.5 m * t = -27 m
Now, divide both sides of the equation by 1.5 m to solve for t:
t = -27 m / 1.5 m
t = -18
The solution to the equation is t = -18, meaning it would take negative 18 minutes for the fish to reach a depth of -37.8 m.
However, this does not make sense in the context of the problem. It is not possible for time to be negative, and it would not make sense for the fish to reach a depth of -37.8 m before it even starts descending.
Therefore, based on the given information, it is not possible for the fish to reach a depth of -37.8 m.
To solve this problem, let's break it down step by step:
1. The fish starts off at a depth of -10.8 m below sea level.
2. Every two minutes, it descends another 1.5 m.
3. We want to find out how long it will take for the fish to reach a depth of -37.8 m.
Let's calculate the number of times the fish descends by dividing the difference in depths by the rate of descent:
-37.8 m - (-10.8 m) = -27 m
-27 m ÷ (-1.5 m) = 18
Therefore, it will take the fish 18 cycles of descending 1.5 m every two minutes to reach a depth of -37.8 m.
To calculate the time required, we'll multiply the number of cycles by 2 minutes:
18 cycles x 2 minutes = 36 minutes
So, it will take the fish 36 minutes to reach a depth of -37.8 m.
In summary, the answer means that the fish will descend 36 minutes at a rate of 1.5 m every two minutes to reach the depth of -37.8 m below sea level.