1. **State the problem:** We are given that a 3/4-cup serving of cereal contains 90 calories. We need to find the unit rate of calories per cup and then find how many calories are in 2 cups.
2. **Find the unit rate (calories per cup):** The unit rate is calories divided by cups. We use the formula:
$$\text{Unit rate} = \frac{\text{Calories}}{\text{Cups}}$$
Given 90 calories in $\frac{3}{4}$ cups, the unit rate is:
$$\frac{90}{\frac{3}{4}} = 90 \times \frac{4}{3}$$
3. **Calculate the unit rate:**
$$90 \times \frac{4}{3} = \frac{90 \times 4}{3} = \frac{360}{3} = 120$$
So, the unit rate is 120 calories per cup.
4. **Find calories in 2 cups:** Multiply the unit rate by 2:
$$120 \times 2 = 240$$
5. **Final answers:**
- Unit rate: 120 calories per cup
- Calories in 2 cups: 240 calories
Calories Per Cup
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.