Solve the word problem a fish is swimming at -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 work

Answer 1

To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine how many times it descends another 1.5 meters from -10.8 meters until it reaches -37.8 meters.

First, let's find the difference between -10.8 meters and -37.8 meters:
-37.8 - (-10.8) = -37.8 + 10.8 = -27

Now, let's divide this difference by the descent rate of the fish to determine how many times it descends another 1.5 meters:
-27 / 1.5 = -18

So the fish needs to descend another 1.5 meters 18 times.

Since the fish descends another 1.5 meters every 2 minutes, to find out how long it will take for the fish to reach a depth of -37.8 meters, we multiply the number of descents by the descent time:
18 * 2 = 36

Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.