1. **State the problem:** We want to find out how much each person pays when the total cost of renting a car is 480 and the number of friends sharing the cost varies. 2. **Understand the relationship:** The cost per person is inversely proportional to the number of friends. This means as the number of friends increases, the cost per person decreases. 3. **Formula:** The inverse proportionality can be expressed as $$y = \frac{k}{x}$$ where $y$ is the cost per person, $x$ is the number of friends, and $k$ is a constant. 4. **Find the constant $k$:** Given when $x=5$ friends, total cost is 480, so cost per person is $$y = \frac{480}{5} = 96$$. Thus, $$k = y \times x = 96 \times 5 = 480$$. 5. **Calculate cost per person for each number of friends:** - For 2 friends: $$y = \frac{480}{2} = 240$$ - For 3 friends: $$y = \frac{480}{3} = 160$$ - For 4 friends: $$y = \frac{480}{4} = 120$$ - For 5 friends: $$y = \frac{480}{5} = 96$$ - For 6 friends: $$y = \frac{480}{6} = 80$$ 6. **Summary:** The cost per person decreases as the number of friends increases, following the inverse proportionality formula $$y = \frac{480}{x}$$. **Final answer:** The cost per person for 2, 3, 4, 5, and 6 friends is 240, 160, 120, 96, and 80 respectively.