Question
8. Function C gives the cost, in dollars, of buying \( n \) apples. Which statement best represents the meaning of \( \mathrm{C}(10)=9 \) ? \( \begin{array}{ll}\text { a. The cost of buying } 9 \text { apples } & \text { b. The cost of } 10 \text { apples is } \$ 9 \\ \text { c. The cost of } 9 \text { apples is } \$ 10 & \text { d. Ten apples cost } \$ 9\end{array} \)
Ask by Mcfarlane Norton. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Ten apples cost \$9.
Solution
To interpret the statement \( \mathrm{C}(10) = 9 \), we need to understand what the function \( \mathrm{C}(n) \) represents. Here, \( n \) is the number of apples, and \( \mathrm{C}(n) \) gives the cost in dollars of buying \( n \) apples.
The expression \( \mathrm{C}(10) = 9 \) means that when you buy 10 apples, the cost is 9 dollars.
Now, let's analyze the options:
- **a. The cost of buying 9 apples**: This is incorrect because the expression specifically refers to the cost of buying 10 apples, not 9.
- **b. The cost of 10 apples is \$ 9**: This is a correct interpretation of \( \mathrm{C}(10) = 9 \).
- **c. The cost of 9 apples is \$ 10**: This is incorrect as it does not relate to the expression given.
- **d. Ten apples cost \$ 9**: This is also a correct interpretation of \( \mathrm{C}(10) = 9 \).
Both options **b** and **d** convey the same meaning. However, since the question asks for the best representation, we can conclude that:
The best statement that represents the meaning of \( \mathrm{C}(10) = 9 \) is:
**d. Ten apples cost \$ 9.**
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
The statement that best represents the meaning of \( \mathrm{C}(10)=9 \) is \( \text{d. Ten apples cost } \$ 9. \) This notation indicates that when 10 apples are purchased, the total expense incurred is $9, making it clear and concise. As a fun little fact, did you know that apples have a rich history throughout different cultures? In ancient Greece, apples were considered symbols of knowledge and love, while in Norse mythology, they were seen as a source of immortality. Apples have certainly evolved from mythical icons to an essential part of our diets today!