MATHEMATICS

JAMB 2003 - Question 16

Mathematics 2003 JAMB Past Questions - Question 16: The length a person can jump is inversely proportional to his weight. if a 20kg person can jump 1.5m, find the constant proportionality.

The length a person can jump is inversely proportional to his weight. if a 20kg person can jump 1.5m, find the constant proportionality.
A:
B:
C:
D:
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Correct Answer

B

Explanation

L 1/w k=LW = 1.5 x 20 = 30therefore L = 30/wTo find the constant proportionality between the length a person can jump and their weight, we can use the formula for inverse variation:y = k/xwhere y represents the length of the jump and x represents the weight of the person.Given that a 20kg person can jump 1.5m, we can substitute these values into the equation:1.5 = k/20To solve for k, we can multiply both sides of the equation by 20:1.5 * 20 = k30 = kTherefore, the constant proportionality between the length a person can jump and their weight is 30.