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Question: The distance from the center of a seesaw is inversely proportional to the weight of a person attempting to balance on a seesaw. A 110-pound person is 1.5 meters from the center. What is the constant of proportionality? The distance a 75-pound person must sit from the center is meters.
To find the constant of proportionality, we can use the formula: Constant of Proportionality (k) = Weight * Distance from the center In this case, the weight of the person is 110 pounds and the distance is 1.5 meters. k = 110 * 1.5 k = 165 So the constant of proportionality is 165. Now, to find the distance a 75-pound person must sit from the center, we can rearrange the formula: Distance = k / Weight We are given the weight of the person as 75 pounds. Distance = 165 / 75 Distance ≈ 2.2 meters Thus, a 75-pound person must sit approximately 2.2 meters from the center to balance on the seesaw.
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