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?

Respuesta :

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:

[tex]\frac{3}{2}[/tex] is the constant of proportionality in terms of the cost per shirt .

Step-by-step explanation:

Constant of proportionality

Let us assume that x is proportional to y .

[tex]x \propto y[/tex]

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 [tex]f = \frac{3}{2} s[/tex]

where s is the number of shirts.

Compare [tex]f = \frac{3}{2} s[/tex] with x = ky .

Thus

[tex]Cost\ per\ shirt =\frac{f}{s}= \frac{3}{2}[/tex]

[tex]k = \frac{3}{2}[/tex]

Therefore [tex]\frac{3}{2}[/tex] is the constant of proportionality in terms of the cost per shirt .