1. **State the problem:** A car rental company charges 40000 per day plus 2000 per mile. A customer wants to spend not more than 1000 per day. We need to find how many miles the customer can drive to meet this budget. 2. **Identify variables:** Let $m$ be the number of miles driven. 3. **Write the cost equation:** Total cost = daily charge + (cost per mile × number of miles) $$\text{Total cost} = 40000 + 2000m$$ 4. **Set up inequality for the budget:** Customer wants to spend at most 1000 per day, so: $$40000 + 2000m \leq 1000$$ 5. **Solve the inequality for $m$:** Subtract 40000 from both sides: $$2000m \leq 1000 - 40000$$ $$2000m \leq -39000$$ Divide both sides by 2000: $$m \leq \frac{-39000}{2000} = -19.5$$ 6. **Interpret the result:** Miles driven $m$ cannot be negative. Since $m \leq -19.5$ is impossible in reality, the customer cannot drive any positive number of miles within a 1000 per day budget given these rates. **Final answer:** The customer cannot drive any positive miles without exceeding the 1000 daily budget.