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

1 answer

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.