1. **State the problem:** Devi wants to rent a car from Company A or Company B. Company A charges 45 per day, Company B charges 38 per day plus a fixed 75 charge. We want to find when Company B is cheaper than Company A. 2. **Define variables:** Let $x$ be the number of days Devi rents the car. 3. **Write cost expressions:** - Company A cost: $45x$ - Company B cost: $38x + 75$ 4. **Form inequality for Company B cheaper than Company A:** $$38x + 75 < 45x$$ 5. **Solve the inequality:** $$38x + 75 < 45x$$ $$75 < 45x - 38x$$ $$75 < 7x$$ $$\frac{75}{7} < x$$ 6. **Interpretation:** Devi should rent from Company B if she rents for more than $\frac{75}{7} \approx 10.71$ days. 7. **Summary:** - If $x \leq 10$, Company A is cheaper. - If $x > 10.71$, Company B is cheaper. Therefore, Devi should rent from Company B only if she plans to rent for more than 10.71 days.