The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality

Answer Details

Inverse proportionality means that as one quantity increases, the other decreases in a proportional manner. In this case, the length a person can jump is inversely proportional to his weight. Let's assume that the constant of proportionality is represented by 'k'. We can use the following formula to solve for 'k': Jump length ∝ 1/Weight Jump length = k/Weight We know that a 20 kg person can jump 1.5 m. So we can substitute these values into the formula and solve for 'k': 1.5 = k/20 k = 30 Therefore, the constant of proportionality is 30. This means that if we multiply the weight of a person by 30, we will get the length of the jump they can make. For example, a person who weighs 60 kg will be able to jump half the distance of a person who weighs 30 kg.