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A scientist uses a submarine to study ocean life. She begins 85 feet below sea level. After ascending for 8 seconds, she's 62 feet below sea level. Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth. Answer: ft//s

A scientist uses a submarine to study ocean life.\newline- She begins 8585 feet below sea level.\newline- After ascending for 88 seconds, she's 6262 feet below sea level.\newlineFind the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.\newlineAnswer: □\square ft/s \mathrm{ft} / \mathrm{s}

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Full solution

Q. A scientist uses a submarine to study ocean life.\newline- She begins 8585 feet below sea level.\newline- After ascending for 88 seconds, she's 6262 feet below sea level.\newlineFind the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.\newlineAnswer: □\square ft/s \mathrm{ft} / \mathrm{s}
  1. Identify Elevations: Identify the initial and final elevations of the submarine. The initial elevation is 8585 feet below sea level, and the final elevation is 6262 feet below sea level.
  2. Calculate Change: Calculate the change in elevation.\newlineThe change in elevation is the final elevation minus the initial elevation: 6262 feet - 8585 feet.\newlineChange in elevation = 62−85=−2362 - 85 = -23 feet.
  3. Identify Time: Identify the time over which the change in elevation occurred.\newlineThe time taken for the change is 88 seconds.
  4. Calculate Rate: Calculate the rate of change in elevation per second.\newlineThe rate of change is the change in elevation divided by the time.\newlineRate of change = Change in elevation / Time = −23-23 feet / 88 seconds.
  5. Perform Division: Perform the division to find the rate of change.\newlineRate of change = −238=−2.875-\frac{23}{8} = -2.875 feet per second.
  6. Round Answer: Round the answer to the nearest tenth if necessary.\newlineThe rate of change rounded to the nearest tenth is −2.9-2.9 feet per second.

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