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MATHEMATICS

JAMB 2009 - Question 15

Mathematics 2009 JAMB Past Questions - Question 15: W is directly proportional to U.if W =5 when U =3 find U when W=2/7

W is directly proportional to U.if W =5 when U =3 find U when W=2/7

A: 6/35

B: 10/21

C: 21/10

D: 35/6

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Correct Answer

Explanation

If W is directly proportional to U, we can write the proportionality as:W = kUwhere k is the constant of proportionality.Given that W = 5 when U = 3, we can substitute these values into the equation to find the value of k:5 = k * 3Dividing both sides by 3:k = 5/3Now, we can use the value of k to find U when W = 2/7:2/7 = (5/3) * UMultiplying both sides by 3/5:(2/7) * (3/5) = U6/35 = UTherefore, when W = 2/7, U is equal to 6/35.