To solve this problem, we can set up an equation to represent the fish's depth at any given time. Let's define "t" as the time in minutes and "d" as the depth in meters.
The initial depth is -10.8 meters, and every 2 minutes the fish descends another 1.5 meters. Therefore, the equation that represents the depth at time "t" is: d = -10.8 - 1.5(t/2).
We want to find the time "t" it takes for the fish to reach a depth of -37.8 meters. So we substitute "-37.8" for "d" in the equation and solve for "t":
-37.8 = -10.8 - 1.5(t/2)
-37.8 + 10.8 = -1.5(t/2)
-27 = -1.5(t/2)
-27 = -0.75t
t = (-27) / (-0.75)
t = 36.
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
This means that after 36 minutes of swimming at a rate of descending 1.5 meters every 2 minutes, the fish will be at a depth of -37.8 meters below sea level.
solve the following word problem. A fish is swimming at -10.8, 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
1 answer
3 answers