Subjects algebra

Minibus Cost Bb22A4

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1. **Problem statement:** Elisabeth's grandfather wants to rent a minibus to visit the zoo 70 km away. There are two offers: - Offer 1: 63 euros per day plus 0.50 euros per kilometer - Offer 2: 149 euros flat rate without kilometer limit Elisabeth claims that choosing the cheaper option will save enough money to buy ice cream together. We need to check if this is true. 2. **Formulas and rules:** - Total cost for Offer 1: $$\text{Cost}_1 = 63 + 0.50 \times 70$$ - Total cost for Offer 2: $$\text{Cost}_2 = 149$$ - Savings if Offer 1 is cheaper: $$\text{Savings} = \text{Cost}_2 - \text{Cost}_1$$ 3. **Calculations:** - Calculate cost for Offer 1: $$\text{Cost}_1 = 63 + 0.50 \times 70 = 63 + 35 = 98$$ - Cost for Offer 2 is 149. - Calculate savings: $$\text{Savings} = 149 - 98 = 51$$ 4. **Interpretation:** Elisabeth saves 51 euros by choosing the first offer. This amount can be used to buy ice cream together. **Final answer:** Elisabeth is correct; the cheaper option saves 51 euros, enough for ice cream.