Question

contant of proportionality 1) the dry cleaning fee for 3 pairs of pants is $18.ola) what is the contant of proportionality?b) how much will the dry cleaner charge for 11 pairs of pants ?

Answer 1

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:

`(18)/(3pairs)=(6)/(pair)`

The fee for 1 pair is 6, this represents the constant of proportionality. Then the equation for this proportional ratio is:

`\begin{gathered} y=kx \\ y=6x \end{gathered}`

b. Use this equation to find the cost for 11 pairs of pants:

`\begin{gathered} y=6(11) \\ y=66 \end{gathered}`

The dry cleaner will charge $66 for 11 pairs of pants.