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If x varies directly to y and if x = 3, y = 5, then find the value of y when x = 7.8.
Question

If x varies directly to y and if x = 3, y = 5, then find the value of y when x = 7.8.

A.

12

B.

13

C.

11

D.

14

Correct option is B

Given:
x ∝ y
x₁ = 3, y₁ = 5
x₂ = 7.8
Formula Used:
x = ky
xy\frac xy​ = constant
Solution:
35=7.8y =>y=7.8×53 =>y=13 \frac{3}{5}=\frac{7.8}{y} \\\ \\\Rightarrow y=\frac{7.8\times5}{3}\\\ \\\Rightarrow y=13\\\ \\​​

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