Answer:
k=3/2
Step-by-step explanation:
the first point with whole numbers is (2,3), the next is (4,6), then (6,9). from this, we can make a chart
[tex]\frac{x}{y}\frac{2}{3}\frac{4}{6}\frac{6}{9}[/tex] **pretend this is a chart
Remember the formula y=kx. (k means constant)
we need k by itself, so divide by x on both sides
[tex]\frac{y}{x} =k[/tex]
Now substitute in values from the table in place of x&y
It is best to start with the largest pair (as long as the numbers are easy to deal with)
[tex]\frac{9}{6} =k[/tex]
Now simplify that fraction
[tex]\frac{9}{6} becomes\frac{6}{4} becomes\frac{3}{2}[/tex]
if all of the pairs simplify to the same thing, that is the Constant of Proportionality.
