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MATHEMATICS

JAMB 2014 - Question 15

Mathematics 2014 JAMB Past Questions - Question 15: y varies directly as w² .when y=8,w=2,Find y when w=3

y varies directly as w² .when y=8,w=2,Find y when w=3

A: 6

B: 18

C: 12

D: 9

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Correct Answer

Explanation

If y varies directly as w², it means that y is directly proportional to the square of w. Mathematically, this can be represented as y = k(w²), where k is the constant of variation.To find the value of k, we can use the given information that when y = 8 and w = 2:8 = k(2²)8 = 4kDividing both sides of the equation by 4, we get:2 = kNow that we have the value of k, we can find y when w = 3:y = k(w²)y = 2(3²)y = 2(9)y = 18Therefore, when w = 3, y = 18.