The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution (x, y) to this system?
Correct answer: A. (4, 5)
- A. (4, 5)
- B. (0, 4)
- C. (0, 0)
- D. (5, 0)
Explanation
The correct answer is (4, 5) because this is the point where the linear and nonlinear graphs intersect, indicating that it satisfies both equations. The other options do not represent points of intersection between the two graphs. For example, (0, 0) and (5, 0) lie on the axes, and (0, 4) is a point on the y-axis, but none are intersection points of the given graphs.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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