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.
![\frac{\text{Regular price}}{\text{Sale price}}=(\$ 9.50)/(\$ 7.60)](https://img.qammunity.org/2020/formulas/mathematics/high-school/23f4wk1z35q5mh6u77k6panwdraw9ncqm4.png)
![\frac{\text{Regular price}}{\text{Sale price}}=(5)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ohljddx8c86xo81t4e8ctk8zgwo9pfgp5q.png)
A pair of jeans were $25.00, and now they are priced $20.00.
![\frac{\text{Regular price}}{\text{Sale price}}=(\$ 25.00)/(\$ 20.00)](https://img.qammunity.org/2020/formulas/mathematics/high-school/i20ec6mx0cj61sxvihe5ke7ww9qf1rh6g7.png)
![\frac{\text{Regular price}}{\text{Sale price}}=(5)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ohljddx8c86xo81t4e8ctk8zgwo9pfgp5q.png)
A pair of boots were $55.00, and they are on sale for $44.00.
![\frac{\text{Regular price}}{\text{Sale price}}=(\$ 55.00)/(\$ 44.00)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ro0yflqk1vaz55r950chptyyzmpyr0rg93.png)
![\frac{\text{Regular price}}{\text{Sale price}}=(5)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/ohljddx8c86xo81t4e8ctk8zgwo9pfgp5q.png)
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.