If $y$ varies directly as $x$ and $y = 12$ , when $x = 4$ , then find the linear equation.

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Solution

y is directly proportional to x
$∴ y = k x$ ...(1)
when y = 12 and x = + 4
putting in (1)
$12 = k (4)$
$k = 3$
$∴ y = 3 x$

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Question 10
Let y varies directly as x. if y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?

Question 10
Let y varies directly as x. if y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?

x

y

x = 4

y = 20

y

x = 12

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