Subjects algebra

Jet Ski Hours 0Cd2D5

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1. **Problem statement:** A jet ski rental charges a flat rate of 75 plus 60 per hour. You want to spend no more than 200. How many hours can you rent the jet ski and stay under budget? 2. **Formula and rules:** Total cost $C = 75 + 60h$ where $h$ is hours rented. We want $C \leq 200$. 3. **Set up inequality:** $$75 + 60h \leq 200$$ 4. **Subtract 75 from both sides:** $$\cancel{75} + 60h - \cancel{75} \leq 200 - 75$$ $$60h \leq 125$$ 5. **Divide both sides by 60:** $$\frac{\cancel{60}h}{\cancel{60}} \leq \frac{125}{60}$$ $$h \leq \frac{125}{60} = \frac{25}{12} \approx 2.08$$ 6. **Interpretation:** You can rent the jet ski for up to about 2.08 hours to stay under 200. **Final answer:** Maximum rental time is $h = \frac{25}{12}$ hours or approximately 2 hours and 5 minutes.