Question

Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (

f. is given by the equation f=3/2s, where s is the number of shirts. What is the constant of proportionality in terms of the cost per shirt?

Answer 1

The amount he pays is the number of shirts times 3 / 2 (or 1.5)
unless the equation is f=3/(2s) where the cost would then be the number of shirts times two, divided by three

Answer 2

`(3)/(2)` is the constant of proportionality in terms of the cost per shirt .

Explanation:

Constant of proportionality

Let us assume that x is proportional to y .

`x \propto y`

x = ky

Where k is the constant of proportionality .

As given

Josh takes a load of dress shirts to the dry cleaners.

The amount he pays for dry cleaning f is given by the equation
`f = (3)/(2) s`

where s is the number of shirts.

Compare
`f = (3)/(2) s` with x = ky .

Thus

`Cost\ per\ shirt =(f)/(s)= (3)/(2)`

`k = (3)/(2)`

Therefore
`(3)/(2)` is the constant of proportionality in terms of the cost per shirt .