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MATHEMATICS

JAMB 2017 - Question 17

Mathematics 2017 JAMB Past Questions - Question 17: y is inversely propotional to x and y = 6 when x = 7. find the constant of the variation.

y is inversely propotional to x and y = 6 when x = 7. find the constant of the variation.

A: 47

B: 42

C: 54

D: 48

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Correct Answer

Explanation

In an inverse variation, the relationship between two variables, y and x, can be expressed as y = k/x, where k is the constant of variation.Given that y is inversely proportional to x and y = 6 when x = 7, we can use this information to find the constant of variation, k.Using the given values:6 = k/7To solve for k, we can multiply both sides by 7:k = 6 * 7k = 42So, the constant of the variation is 42.