Question

# Work each problem. Suppose y is directly proportional to x, and xis replaced by 1/3x. What happens to y?

Math Word Problem
Work each problem. Suppose y is directly proportional to x, and xis replaced by $$\displaystyle\frac{{1}}{{3}}{x}$$. What happens to y?

Take the information given and writeit out in mathematical form. This shows that y varies directly as x. We see that when we replace x with $$\frac{1}{3}x$$, is multiplied be $$\frac{1}{3}$$. y=kx
$$y=k(\frac{1}{3}x)$$
$$y=\frac{1}{3}kx$$