Question

gio paid $30 to have 6 shirts cleaned at the dry cleaners. What is the constant of proportionality that relates the cost in dollars to clean shirts , y , to the number of shirts, x?​

Answer 1

The constant of proportionality is 5

Explanation:

Given

`y = \$30` --- Cost

`x = 6` --- Number of shirts

Required

Determine the constant of proportionality

The relationship between y and x is:

`y =kx`

Where:

k = constant of proportionality

Substitute
`30\ for\ y` and
`6\ for\ x`

`30 = k * 6`

`30 = 6k`

Divide both sides by 6

`(30)/(6) = (6k)/(6)`

`(30)/(6) = k`

`5 = k`

`k = 5`

The constant of proportionality is 5