A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is

Question

63 1/4°F. The submarine dives down 115 feet deeper, and the water temperature drops by
2 1/5°F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation. Complete the steps below to solve the problem.

Part A
Write the submarine’s initial elevation as a rational number.

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Part B
Which operation must you use to calculate the submarine’s change in elevation? Which word or words in the problem signify this operation?

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Part C
Write an expression to represent the submarine’s elevation after its final dive. Then simplify the expression to find its elevation.

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Part D
Write the temperature at 502.5 feet below sea level as a rational number.

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Part E
Which operation must you use to find the water temperature after the submarine’s final dive? Which word or words in the problem signify this operation?

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Part F
Write an expression to represent the water temperature after the submarine’s final dive. Then simplify the expression to find the temperature.

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Part G
Now you’ll complete the temperature part of the problem again, but this time using decimal numbers. Start by converting the temperatures in the problem statement from fractions to decimal numbers.

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Part H
Find the water temperature after the submarine’s final dive in decimal form. Show your work.

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Part I
Is the result that you obtained in part F (with fractions) the same as the result you obtained in part H (with decimal numbers)? Explain.

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Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work below. Note what you learned and what challenged you.

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answer the self evaluation

Answer 1

Self-Evaluation

Rating: 5

Evaluation: I feel confident in my understanding and execution of the problem. I successfully converted the temperatures from fractions to decimals, ensuring accuracy in the calculations. The step-by-step approach provided clarity in determining the submarine's elevation and temperature changes. I appreciated the focus on writing expressions clearly and the logical reasoning required to identify the operations needed for each calculation. One challenge I faced was ensuring I correctly understood how to handle negative numbers in context, but I feel I managed that well by breaking down each step. Overall, the exercise reinforced my mathematical skills and my ability to work with both rational numbers and decimal representations.