Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means.(4 points)

To find out how long it will take for the fish to reach a depth of -37.8 meters, we can set up an equation.

Let x be the time it takes for the fish to reach a depth of -37.8 meters.
The fish descends 1.5 meters every 2 minutes, so the rate of descent is -1.5 meters per 2 minutes.
Therefore, the fish descends at a rate of -1.5/2 meters per minute.

We can use the formula distance = rate × time to solve for time.
-37.8 = (-1.5/2)x

Now, let's solve for x.

Multiply both sides of the equation by 2/(-1.5):
(-37.8)(2)/(-1.5) = (-1.5/2)(x)(2)/(-1.5)
x = (-37.8)(2)/(-1.5)

Calculate the right side of the equation:
x = 75.6/1.5
x = 50.4

The fish will take 50.4 minutes to reach a depth of -37.8 meters.

Therefore, it will take the fish approximately 50.4 minutes to reach a depth of -37.8 meters.

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