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6. Function \( C \) gives the cost, in dollars, of buying \( n \) apples. What does each expression or equation represent in this situation? \[ \begin{array}{l}\text { a. } C(5)=4.50 \\ \text { b. } C(2)\end{array} \]

Ask by Malone Maxwell. in the United States
Jan 24,2025

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Answer

a. \( C(5) = 4.50 \) means buying 5 apples costs \$4.50. b. \( C(2) \) represents the cost of buying 2 apples.

Solution

Let's interpret each part of the problem based on the function \( C(n) \), which represents the cost in dollars of buying \( n \) apples. ### a. \( C(5) = 4.50 \) **Interpretation:** This equation means that the cost of purchasing **5 apples** is **\$4.50**. In other words, when you substitute \( n = 5 \) into the cost function \( C(n) \), the resulting cost is $4.50. **Example Scenario:** If you go to an apple store and buy 5 apples, according to the function \( C \), you will pay a total of $4.50. ### b. \( C(2) \) **Interpretation:** This expression represents the **cost of buying 2 apples**. However, without additional information or a specific cost function formula, we cannot determine the numerical value of \( C(2) \). **Example Scenario:** If you want to find out how much it would cost to buy 2 apples, you would evaluate \( C(2) \) using the given cost function. For instance, if the cost function were \( C(n) = 0.90n \), then \( C(2) = 0.90 \times 2 = \$1.80 \). --- **Summary:** - **a.** \( C(5) = 4.50 \) means that buying **5 apples costs \$4.50**. - **b.** \( C(2) \) represents the **cost of buying 2 apples**, which can be determined by evaluating the function \( C \) at \( n = 2 \).

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When we look at \( C(5) = 4.50 \), this means that buying 5 apples costs $4.50. It's a snapshot of the total cost associated with that specific quantity of apples. For \( C(2) \), this expression signifies the cost of purchasing 2 apples. However, without a defined value, we can't determine how much that will be; it’s like predicting the cost of a surprise party—you need to ask!

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