3. If y varies inversely as x and y= 24 when x=6, find y when x=18.
Answer (1)
SOLUTION:Step 1: Calculate the proportionality constant if y = 24 when x = 6.[tex]\begin{aligned} y & = \frac{k}{x} \\ k & = xy \\ k & = (6)(24) \\ k & = 144 \end{aligned}[/tex]Step 2: Solve for y when x = 18.[tex]\begin{aligned} y & = \frac{k}{x} \\ y & = \frac{144}{18} \\ y & = \boxed{8} \end{aligned}[/tex]Hence, the value of y when x = 18 is 8.
