Solve the following world problem of fish is swimming at -10.8 m or 10.8 m below sea level every two minutes it descend another 1.5 m. How long will it take for the fish to reach a depth of -37.8 m show your work, and write a sentence to explain what your answer means
To find how long it will take for the fish to reach a depth of -37.8 m, we can set up an equation. Let "x" represent the number of times the fish has descended another 1.5 m.
Since the fish descends another 1.5 m every two minutes, the depth at any given time can be calculated using the equation: -10.8 - 1.5x = -37.8.
To solve for "x," we can rearrange the equation to isolate "x": -1.5x = -37.8 + 10.8. Simplifying the equation, we have: -1.5x = -27.
Dividing both sides of the equation by -1.5, we get: x = (-27)/(-1.5) = 18.
Therefore, it will take the fish 18 intervals of descending 1.5 m, or 36 minutes, to reach a depth of -37.8 m below sea level.
This means that after 36 minutes, the fish will have descended to a depth of -37.8 m below sea level.
To solve the problem, we'll calculate the number of descents the fish needs to make to reach a depth of -37.8 m.
First, we'll determine the difference in depth between the starting point (-10.8 m) and the target depth (-37.8 m):
-37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m
Next, we'll determine the number of descents needed by dividing the total depth difference by the descent per two minutes:
-27 m ÷ 1.5 m/2 min = -27 m ÷ 0.75 m/min = -36 min
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 m.
This means that the fish descends 1.5 m every two minutes, so after 36 minutes, it will have descended a total of 36 × 1.5 = 54 meters below the starting point, reaching a depth of -37.8 m.
To solve this problem, we need to determine the number of descents the fish will make to reach a depth of -37.8 m.
First, let's calculate the difference in depth between the starting depth (-10.8 m) and the target depth (-37.8 m):
-37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m
Next, we'll divide this depth difference by the descent rate of 1.5 m every two minutes to find the number of descents:
-27 m / 1.5 m = -18
Since the number of descents represents the number of two-minute intervals, we can calculate the time it takes to reach the target depth by multiplying the number of descents by 2:
-18 descents * 2 minutes = -36 minutes
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 m.
In summary, the fish will descend at a rate of 1.5 m every two minutes. It needs to descend 27 m to reach a depth of -37.8 m. Since each descent takes two minutes, the fish will take 36 minutes to reach the target depth.