Subjects algebra

Campground Costs 4Df9E9

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to determine which campground charges more per night and then find the cost for a four-night stay at that campground. 2. **Analyze Tallgrass Campground costs:** The table shows costs for different nights: - 2 nights cost 26 - 3 nights cost 39 - 5 nights cost 65 Since the relationship is proportional, the cost per night is constant. Calculate cost per night: $$\text{Cost per night} = \frac{\text{Total cost}}{\text{Number of nights}}$$ Using 2 nights: $$\frac{26}{2} = 13$$ Using 3 nights: $$\frac{39}{3} = 13$$ Using 5 nights: $$\frac{65}{5} = 13$$ All give $13$ per night. 3. **Analyze Carlson Campground costs:** The equation is given as: $$y = 15x$$ Here, $y$ is the total cost for $x$ nights, so the cost per night is $15$. 4. **Compare costs per night:** - Tallgrass: $13$ per night - Carlson: $15$ per night Carlson Campground charges more per night. 5. **Calculate cost for 4 nights at Carlson Campground:** $$y = 15 \times 4 = 60$$ **Final answer:** Carlson Campground charges more per night, and the cost for a 4-night stay there is $60$.