Question

If y varies directly with x, and y = 12 when x = 8, write the direct linear variationequation.O y=8xO y = 12xO y=2/3xO y= 3/2 x

Answer 1

A direct linear variation of y with x has the general form:

$y=mx$

Where m is the ratio of y to x, which is a y divided by x.

Since we know that when x equals 8, y equals 12, we can calculate m, like this:

$m=\frac{y}{x}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}$

Now that we know that m=3/2, the linear variation equation would be:

$y=\frac{3}{2}x$