1. **State the problem:** Cho pays 3 to rent shoes and 5.10 for each game of bowling. We want to write an equation for the total cost $C$ based on the number of games $g$ played. 2. **Write the equation:** The total cost $C$ is the sum of the fixed shoe rental cost and the cost per game times the number of games: $$C = 3 + 5.10g$$ 3. **Explain the equation:** - The 3 represents the fixed cost for shoe rental. - The $5.10g$ represents the variable cost depending on how many games $g$ Cho plays. 4. **Solve for the number of games if total cost is 18.30:** Given $C = 18.30$, substitute into the equation: $$18.30 = 3 + 5.10g$$ 5. **Isolate $g$:** $$18.30 - 3 = 5.10g$$ $$15.30 = 5.10g$$ 6. **Divide both sides by 5.10 to solve for $g$:** $$g = \frac{15.30}{5.10}$$ Show cancelation: $$g = \frac{\cancel{15.30}}{\cancel{5.10}} = 3$$ 7. **Interpretation:** Cho played 3 games of bowling. **Final answers:** - Equation: $$C = 3 + 5.10g$$ - Number of games: $$g = 3$$