solve a word problem of fish is swimming at -10.8 m or 10.8 m below sea level every two minutes in the Sims another 1.5 m how long will it take for the first to reach a death of -37.8 m show your work and write a sentence to explain what your answer means.
To solve this word problem, we can set up an equation to represent the situation. Let's say t represents the time (in minutes) it takes for the fish to reach a depth of -37.8 m.
Starting from -10.8 m, the fish goes down 1.5 m every 2 minutes. Therefore, in t minutes, the fish will have gone down (1.5/2)t = 0.75t m.
Adding this to the initial depth, we get the equation: -10.8 + 0.75t = -37.8.
We can now solve for t:
0.75t = -37.8 + 10.8
0.75t = -27
t = -27 / 0.75
t = -36.
Since time cannot be negative, we discard t = -36 as an extraneous solution.
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 m.
This means that after 36 minutes, the fish will have swum 1.5 m below sea level every two minutes, reaching a depth of -37.8 m.
To solve this problem, we need to determine the number of times the fish goes down by 1.5 m until it reaches a depth of -37.8 m. Let's calculate it step-by-step:
1. Difference in depth: -37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m
2. Number of times the fish goes down: -27 m ÷ 1.5 m = -18
Therefore, the fish needs to go down 18 times (swim 18 cycles of 2 minutes) to reach a depth of -37.8 m.
Explanation: The answer means that it will take the fish approximately 36 minutes (18 cycles of 2 minutes) to reach a depth of -37.8 m by swimming down at a rate of 1.5 m every two minutes.