The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m?
Correct answer: A. d = 2m
- A. d = 2m
- B. d = 1/2m
- C. d = m + 2
- D. d = 2m + 2
Explanation
Choice A is correct. The line passes through the origin. Therefore, this is a relationship of the form d = km, where k is a constant representing the slope of the graph. To find the value of k, choose a point (m, d) on the graph of the line other than the origin and substitute the values of m and d into the equation. For example, if the point (2, 4) is chosen, then 4 = k(2), and k = 2. Therefore, the equation of the line is d = 2m.
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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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