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

Answer:

The constant of proportionality is 5

Step-by-step 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

$\frac{30}{6} = \frac{6k}{6}$

$\frac{30}{6} = k$

$5 = k$

$k = 5$

The constant of proportionality is 5