We want to see if the relationship between the price and the number of shirts is proportional. We will see that the correct option is the first one:
"Yes, each shirt costs $0.99 to dry clean."
Remember that a proportional relationship is something like:
y = k*x
Where k is the constant of proportionality.
The given relationship will only be proportional if for each one of the given pairs, we get the same constant of proportionality.
k = y/x
Defining:
- y = price
- x = number of shirts.
For the first pair we have:
x = 4, y = $3.96
k =($3.96)/4 = $0.99
For the second pair we have:
x = 10, y = $9.90
k = ($9.90)/10 = $0.99
For the third pair:
x = 16, y = $15.84
k = ($15.84)/16 = $0.99
For the fourth pair:
x = 22, y = $21.78
k = ($21.78)/22 = $0.99
So the constant of proportionality is always $0.99, so the relation is a proportional relation.
And the correct option is the first one:
"Yes, each shirt costs $0.99 to dry clean."
If you want to learn more about proportional relations, you can read:
https://brainly.com/question/13715178
