Question

If y varies directly as x, and y = 3 when x = 2, Find y when x = 12.

Pls explain answer,thx

Answer 1

18

Explanation:

A direct proportion can be defined as the relationship between two (2) variables that has a constant value (k) for their ratio.

Mathematically, direct proportion is given by the formula;

y = kx

Where;

y and x represents the two (2) variables.

k is the constant of proportionality.

Since we know that, y varies directly has x

when y = 3 and x =2

Substituting into the equation, we have;

3 = k*2

k = 3/2

k = 1.5

Now to find y, when x = 12

y = 1.5*12

y = 18