Subjects algebra

Car Rental Cost 43D1E2

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1. **State the problem:** We want to find the number of miles $m$ you can drive a Gambelli Agency car so that the total cost is less than renting from McDougal Rental. 2. **Define the costs:** - Gambelli Agency cost: $40 + 0.25m$ - McDougal Rental cost: $58$ 3. **Set up the inequality:** We want Gambelli's cost to be less than McDougal's cost: $$40 + 0.25m < 58$$ 4. **Solve the inequality:** Subtract 40 from both sides: $$\cancel{40} + 0.25m - \cancel{40} < 58 - 40$$ $$0.25m < 18$$ Divide both sides by 0.25: $$\frac{0.25m}{0.25} < \frac{18}{0.25}$$ $$m < 72$$ 5. **Interpretation:** You can drive less than 72 miles per day in a Gambelli Agency car for it to cost less than renting from McDougal Rental. **Final answer:** $$m < 72$$ miles per day.