Subjects algebra

Bike Rental 824D82

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1. **State the problem:** Jane rents a bike for 2 hours. We want to find how much cheaper the bike with training wheels is compared to the bike without training wheels. 2. **Write the rental rate functions:** - With training wheels: $f(x) = 2.50x + 5.00$ - Without training wheels: $f(x) = 3.75x + 4.00$ 3. **Calculate the cost for 2 hours for each bike:** - With training wheels: $$f(2) = 2.50 \times 2 + 5.00 = 5.00 + 5.00 = 10.00$$ - Without training wheels: $$f(2) = 3.75 \times 2 + 4.00 = 7.50 + 4.00 = 11.50$$ 4. **Find the difference in cost:** $$\text{Difference} = 11.50 - 10.00 = 1.50$$ 5. **Interpretation:** The bike with training wheels is $1.50$ cheaper than the bike without training wheels when rented for 2 hours. **Final answer:** $1.50$ cheaper.