To find the constant of proportionality between two quantities that are in a proportional relationship, we divide one quantity by the other.
In this scenario, we are given that 0.2 yards of fabric costs [tex]$1.50. The constant of proportionality will tell us the cost per yard.
To calculate this constant, we use the following formula:
Constant of Proportionality = Cost / Length
Given:
Cost = $[/tex]1.50
Length = 0.2 yards
Plugging the values into the formula, we get:
Constant of Proportionality = [tex]$1.50 / 0.2 yards
Now, we will perform the division to find the constant of proportionality:
Constant of Proportionality = 1.50 / 0.2 = 7.5
This means the constant of proportionality is $[/tex]7.50 per yard.
Write your answer as a decimal, the constant of proportionality is $7.50.
