Question

Suppose y varies directly as x. If x = 24 when y = 8, then what is the constant of variation

Answer 1

Direct variation is represented by the formula $\frac{y}{x} = k$

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.