Answer : Yes, regular and sale prices represent a proportional relationship.
Step-by-step explanation :
We have to determine the ratio of regular and sale prices of shirt, jeans and boots .
A shirt was originally $9.50 and now is $7.60.
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 9.50}{\$ 7.60}[/tex]
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}[/tex]
A pair of jeans were $25.00, and now they are priced $20.00.
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 25.00}{\$ 20.00}[/tex]
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}[/tex]
A pair of boots were $55.00, and they are on sale for $44.00.
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{\$ 55.00}{\$ 44.00}[/tex]
[tex]\frac{\text{Regular price}}{\text{Sale price}}=\frac{5}{4}[/tex]
From this we conclude that, all the items are in same ratio that means the regular and sale prices represent a proportional relationship.
Hence, yes, regular and sale prices represent a proportional relationship.
