Question

43.) if \\(y\\) is directly proportion to \\(x\\) when \\(y=12\\) and \\(x=3\\) find \\(y\\) when \\(x=5\\)

Explanation:

Set up direct variation equation

A direct proportion relation means:

$$y = kx$$

where \(k\) is the constant.

Solve for constant \(k\)

Substitute \(y = 12\) and \(x = 3\):

$$12 = k \cdot 3$$

$$k = 4$$

Calculate the target value

Substitute \(k = 4\) and \(x = 5\):

$$y = 4 \cdot 5$$

$$y = 20$$

Answer:

\(y = 20\)