MATHEMATICS

JAMB 2012 - Question 14

Mathematics 2012 JAMB Past Questions - Question 14: if y varies directly as √n and y =4 when n=4 find y when n=1 7/9

if y varies directly as √n and y =4 when n=4 find y when n=1 7/9
A:
B:
C:
D:
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Correct Answer

C

Explanation

If y varies directly as √n, we can express this relationship as y = k√n, where k is the constant of variation.To find the value of k, we can use the given information that y = 4 when n = 4:4 = k√44 = 2kk = 2Now that we have the value of k, we can find y when n = 1 7/9:y = 2√(1 7/9)To simplify the square root, we can convert 1 7/9 to an improper fraction:1 7/9 = (9 + 7)/9 = 16/9Substituting this value into the equation:y = 2√(16/9)Simplifying the square root:y = 2(4/3)y = 8/3Therefore, when n = 1 7/9, y is equal to 8/3.