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.