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  3. Compare Quantity A and Quantity B, using additional information centered above t

Compare Quantity A and Quantity B, using additional information centered above t

游客2025-02-24  16
问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question. [br]
选项
答案 A
解析 You are given that the relationship between the pressure and volume of the gas throughout the experiment was PV= C, where C is a positive constant.
Quantity A is the volume of the gas when the pressure was 40 psi. At this pressure, the equation PV= C becomes 40 V= C. Solving this equation for V, you get V = C/40 = 0.025C; that is, the volume of the gas was 0.025C cubic inches.
Quantity B is 1.2 times the volume of the gas when the pressure was 50 psi. At this pressure, the equation PV=C becomes 50V = C, or V =C/50= 0.02C. Therefore (1.2)V =(1.2)(0.02C)= 0.024C; that is, Quantity B is 0.024C cubic inches. Thus the correct answer is Choice A.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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