a. The constant of proportionality will be the number that links the cost for the dry cleaner for x pairs of pants and the number of pairs of pants. In this case, we know that the fee for 3 pairs is $18.00, then the fee for 1 pair is:
[tex]\frac{18}{3pairs}=\frac{6}{pair}[/tex]The fee for 1 pair is 6, this represents the constant of proportionality. Then the equation for this proportional ratio is:
[tex]\begin{gathered} y=kx \\ y=6x \end{gathered}[/tex]b. Use this equation to find the cost for 11 pairs of pants:
[tex]\begin{gathered} y=6(11) \\ y=66 \end{gathered}[/tex]The dry cleaner will charge $66 for 11 pairs of pants.
