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  3. For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

游客2024-01-12  31
问题 For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question.
(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 C
解析 Two approaches you could use to solve this problem are:
1: Reason algebraically.
2: Reason geometrically.
    Approach 1: To solve this problem algebraically, note that given the equation of a line in the xy-plane, the x-intercept of the line is the value of x when y equals 0, and the y-intercept of the line is the value of y when x equals 0. The equation of line k is 3x - 2y = 0. If y = 0, then x = 0; and if x = 0, then y = 0. Therefore, both the x-intercept and y-intercept of the line are equal to 0, which means that the line passes through the origin. The correct answer is Choice C.
    Approach 2: To solve this problem geometrically, graph the line with equation 3x - 2y = 0 in the xy-plane. Since two points determine a straight line, you can do this by plotting two points on the line and drawing the line they determine. The points(0,0)and(2,3)lie on the line, and the graph of the line in the xy-plane is shown in the following figure.

    As you can see, the line passes through the origin, and so it crosses both the x-axis and the v-axis at(0,0). The correct answer is Choice C.
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