Question

the dry cleaning fee for 3 pairs of pants is $18. what is the constant of proportionality. How much will the dry cleaner charge for 11 pairs of pants?

Answer 1

its 6$ for 1 pair of pants so for 11 pairs of pant's it is 66$

Answer 2

Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.

Explanation:

Dry cleaning fees is directly proportional to the charges of dry cleaning.

Cleaning fee ∝ Pairs of pants

Cleaning fee = k × Pairs of pants

where k is the proportionality constant.

If dry cleaning fee for 3 pairs of pants is $18 then from the equation given above

18 = k ×3

k =
`(18)/(3)=6`

SO the equation will be Cleaning fees = 6×Pairs of pants

For 11 pairs of pants,

Cleaning fees = 6×11 = $66

Therefore, constant of proportionality is $6 for one pair of pants and cost of dry cleaning 11 pairs of pants is $66.