Solution
- We are told that dog treats, Barker and DogYum cost $1.95 for 3 oz and $2.10 for 3.25 oz respectively and we are required to find out which is more expensive per ounce.
- In order to find the more expensive dog treat, we need to find the cost per ounce for each item. The cost per ounce is given by the formula below:
![\frac{\text{Cost of dog treat (In Dollars)}}{\text{Weight of dog treat (In Oz)}}](https://img.qammunity.org/2023/formulas/mathematics/college/i1l4lli40xyyke5yifqc5wc765w83intsh.png)
- The dog treat with the larger cost per oz is the more expensive item.
- Thus, let us calculate the cost per oz for both items.
DogYum:
![\begin{gathered} \frac{\text{Cost of DogYum}}{\text{Weight of DogYum}}=(2.10)/(3.25)=0.646 \\ \\ \text{Thus, the cost per oz of the DogYum treat is \$0.646/oz} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/da0cfmdcuojzjkifzocfn5ab74pm3eptzr.png)
Barker:
![\begin{gathered} \frac{\text{ Cost of Barker}}{\text{Weight of Barker}}=(1.95)/(3)=0.65 \\ \\ \text{Thus, the cost per oz of the Barker treat is \$0.65/oz} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5z13kfzbqjs78c8hz13o8jbe7q5skf5mfa.png)
- We can observe that Barker is marginally more expensive than DogYum. We can confirm this by simply subtracting the cost per oz for both treats.
![\text{Barker - DogYum}=0.65-0.646=0.004](https://img.qammunity.org/2023/formulas/mathematics/college/e9eltyyyq84yj5e439gay897vrpwu23vym.png)
Final Answer
The answer is:
DogYum is less expensive, per ounce