1. **State the problem:** We need to find expressions that represent the total cost for 25 students each buying a day pass costing 10 and a lunch ticket costing $t$ dollars. 2. **Define variables:** Let $t$ be the cost of one lunch ticket. 3. **Write the total cost for one student:** The cost for one student is the sum of the day pass and lunch ticket costs: $$10 + t$$ 4. **Write the total cost for 25 students:** Since there are 25 students, multiply the cost for one student by 25: $$25 \times (10 + t)$$ 5. **Distribute multiplication:** Using the distributive property: $$25 \times 10 + 25 \times t = 250 + 25t$$ 6. **Alternative expressions:** The total cost can also be expressed as: - $$25(10 + t)$$ - $$250 + 25t$$ 7. **Summary:** Expressions representing the total cost are $$25(10 + t)$$ and $$250 + 25t$$.