Question

If a shark swims at a depth of 24.6 meters below sea level, rises 7 1/3 meters, ascends another 14.3 meters, and then dives back down 6 5/6 meters, what depth is the shark at now?

a. 38.5 meters
b. 30.2 meters
c. 34.1 meters
d. 29.2 meters

Answer 1

The shark is now at a depth of approximately 9.8 meters below sea level after ascending and diving back down. This result does not match any of the given options, suggesting that there might be a need to double-check the figures or the question itself.

Step-by-step explanation:

To find the depth at which the shark is now, we need to perform a series of calculations that involve both adding and subtracting from the initial depth.

The shark starts at 24.6 meters below sea level.

First, it rises 7 1/3 meters. Since 7 1/3 meters is equal to 7.333... meters in decimal form, we subtract that from 24.6 to get:

24.6 meters - 7.333... meters = 17.266... meters

Then, it ascends another 14.3 meters. Subtracting that amount, we have:

17.266... meters - 14.3 meters = 2.966... meters

Finally, the shark dives down 6 5/6 meters, which is equivalent to 6.8333... meters in decimal form. Adding this back, we have:

2.966... meters + 6.8333... meters = 9.799... meters (approximately 9.8 meters)

The shark is now at a depth of approximately 9.8 meters below sea level. This answer is not listed among the options, so students should double-check the question and calculations or discuss with the teacher for clarification.