We know that a box of cereal states that there are 75 calories in a 3/4 cup.
To find the unit rate for calories cup we must represent the the situation with an equation
![\frac{75\text{ calories}}{(3)/(4)\text{ cup}}=\frac{x\text{ calories}}{1\text{ cup}}](https://img.qammunity.org/2023/formulas/mathematics/college/lzde1p0290xshvicxnoqyah6yhzvz2bnrj.png)
Then, to find the unit rate for calories we need to solve the equation for x
![x\text{ calories}=\frac{75\text{ calories}\cdot1\text{ cup}}{(3)/(4)\text{ cup}}=100\text{ calories}](https://img.qammunity.org/2023/formulas/mathematics/college/ygoetj0pe54q8gtoop4cw2rcwsxvazcx24.png)
Now, to find how many calories there are in 2 cups we must multiply the unit rate for calories by 2
![x\text{ calories=100 calories}\cdot2=200\text{ calories}](https://img.qammunity.org/2023/formulas/mathematics/college/cuprf83i5sc6l57cc0aqwn9u7nq487y26t.png)
Finally, the answers are:
- The unit rate for calories is 100 calories/cup.
- In 2 cups there are 200 calories.