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MATHEMATICS

JAMB 2004 - Question 14

Mathematics 2004 JAMB Past Questions - Question 14: y is inversely proportional to x and y =4 when x=1/2 find x and y=10

y is inversely proportional to x and y =4 when x=1/2 find x and y=10

A: 1/10

B: 1/5

C: 2

D: 10

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Correct Answer

Explanation

If y is inversely proportional to x, we can write the equation as y = k/x, where k is the constant of proportionality.Given that y = 4 when x = 1/2, we can substitute these values into the equation to find the value of k:4 = k/(1/2)To simplify, we can multiply both sides of the equation by 1/2:4 * (1/2) = k2 = kNow that we have the value of k, we can use it to find the value of y when x = 10:y = k/xy = 2/10Simplifying, we get:y = 1/5Therefore, when x = 10, y = 1/5.