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In which story could you use the quotient 12÷8-12 \div 8 to answer the question?\newlineChoices:\newline(A)Jack turns on the air conditioning in his room for 88 minutes. The temperature drops a total of 1212 degrees in that time. On average, how much does the temperature change per minute?\newline(B)Jack turns on the air conditioning in his room for 1212 minutes. The temperature drops a total of 88 degrees in that time. On average, how much does the temperature change per minute?

Full solution

Q. In which story could you use the quotient 12÷8-12 \div 8 to answer the question?\newlineChoices:\newline(A)Jack turns on the air conditioning in his room for 88 minutes. The temperature drops a total of 1212 degrees in that time. On average, how much does the temperature change per minute?\newline(B)Jack turns on the air conditioning in his room for 1212 minutes. The temperature drops a total of 88 degrees in that time. On average, how much does the temperature change per minute?
  1. Understand the problem: Step 11: Understand the problem and identify the correct story.\newlineWe need to find where the quotient 12÷8-12 \div 8 fits. This quotient represents a rate of change per unit. In story (A), the temperature drops 1212 degrees over 88 minutes, so we calculate the average change per minute.
  2. Calculate the quotient: Step 22: Calculate the quotient for story (A).\newline12÷8=1.5-12 \div 8 = -1.5\newlineThis means the temperature drops by 1.5-1.5 degrees per minute.
  3. Check calculation: Step 33: Check if the calculation matches the story context.\newlineSince we are looking for a rate of temperature change per minute and we calculated 1.5-1.5 degrees per minute, this matches the context of story (A).

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