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In which story could you use the quotient 12÷10-12 \div 10 to answer the question?\newlineChoices:\newline(A)The overnight temperature in Juneau, Alaska, dropped 1212 degrees over 1010 hours. On average, how much did the temperature change per hour?\newline(B)The overnight temperature in Juneau, Alaska, dropped 1010 degrees over 1212 hours. On average, how much did the temperature change per hour?

Full solution

Q. In which story could you use the quotient 12÷10-12 \div 10 to answer the question?\newlineChoices:\newline(A)The overnight temperature in Juneau, Alaska, dropped 1212 degrees over 1010 hours. On average, how much did the temperature change per hour?\newline(B)The overnight temperature in Juneau, Alaska, dropped 1010 degrees over 1212 hours. On average, how much did the temperature change per hour?
  1. Understand the problem: Step 11: Understand the problem. We need to find which story scenario correctly uses the division of 12-12 by 1010 to find an average change per hour.
  2. Analyze the choices: Step 22: Analyze the choices. Choice (A) asks about a temperature drop of 1212 degrees over 1010 hours, so the calculation would be 12÷10-12 \div 10. Choice (B) involves a temperature drop of 1010 degrees over 1212 hours, which would require dividing 10-10 by 1212.
  3. Perform the calculation: Step 33: Perform the calculation for Choice (A). Calculate 12÷10-12 \div 10 to find the average change per hour.\newline12÷10=1.2-12 \div 10 = -1.2 degrees per hour.
  4. Confirm the calculation: Step 44: Confirm the calculation matches the story in Choice (A). Since we calculated 1.2-1.2 degrees per hour and the story describes a drop of 1212 degrees over 1010 hours, the calculation is correct for this scenario.

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