Problem:
For every rise in itemperature, the volume of a certain gas expands by cubic centimeters. If the volume of the gas is cubic centimeters when the itemperature is , what was the volume of the gas in cubic centimeters when the itemperature was
Answer Choices:
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B.
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Solution:
The rate of change is cubic centimeters per . The temperature change is . The corresponding change in volume is cubic centimeters. Thus the initial volume of the gas was .
Work backwards, changing the volume of the gas by cubic cm each time the temperature changes by :
Thus the initial volume of the gas was cubic centimeters.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions