Question
- A scuba diver 15155 feet below the
surface of the water. If the diver
continues to swim downward at a rate
of 2.5 feet per second, what integer
represents her location relative to the
surface after 7 seconds? How far does
the diver have to go to return to the
surface?
?
surface of the water. If the diver
continues to swim downward at a rate
of 2.5 feet per second, what integer
represents her location relative to the
surface after 7 seconds? How far does
the diver have to go to return to the
surface?
?
Ask by Pritchard Chang. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
After swimming downward for 7 seconds, the diver is 15,173 feet below the surface. To return to the surface, she needs to ascend 15,173 feet.
Solution
Let’s break down the problem step by step.
Given:
- Initial Depth: 15,155 feet below the surface
- Rate of Descent: 2.5 feet per second
- Time Swimming Downward: 7 seconds
1. Calculating the New Depth After 7 Seconds
First, determine how much deeper the diver swims in 7 seconds:
Add this distance to the initial depth to find the new depth:
Since the problem asks for an integer representation of her location:
2. Calculating the Distance to Return to the Surface
To return to the surface, the diver needs to ascend the same depth she is currently at:
Summary of Answers:
- Location After 7 Seconds: The diver is 15,173 feet below the surface.
- Distance to Return to Surface: She needs to ascend 15,173 feet to reach the surface.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
After swimming for 7 seconds at a rate of 2.5 feet per second, the diver will have descended an additional 17.5 feet (2.5 feet/second x 7 seconds). Adding this distance to her initial depth of 15,155 feet, her new location will be -15,172.5 feet, which you can round to -15,173 feet, indicating she is 15,173 feet below the surface.
To return to the surface, the diver needs to ascend a total of 15,173 feet from her current depth, which is quite a trek considering she would have to swim back up at 2.5 feet per second. It would take her approximately 6,069 seconds, or about 1 hour and 41 minutes, to reach the surface if she maintains that pace!
