Subjects algebra

Yacht Rental Cost

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1. The problem states that the cost $C$ of renting the yacht depends on the number of people $p$ in the group. 2. The cost per person is 75, and there is a fixed rental fee of 350. 3. Therefore, the total cost $C$ can be expressed as: $$C = 75p + 350$$ 4. The domain is the number of people $p$ that can rent the yacht. Since the group must have at least 10 people and the maximum load is 25 people, the domain is: $$10 \leq p \leq 25$$ 5. To find the range, calculate the minimum and maximum cost by substituting the domain values into the cost function: - Minimum cost when $p=10$: $$C = 75(10) + 350 = 750 + 350 = 1100$$ - Maximum cost when $p=25$: $$C = 75(25) + 350 = 1875 + 350 = 2225$$ 6. Thus, the range of $C$ is: $$1100 \leq C \leq 2225$$ Final answer: $$C = 75p + 350, \quad 10 \leq p \leq 25, \quad 1100 \leq C \leq 2225$$