A bookstore sells 4 books for $46. Which table represents the relationship between number of books and the total price?
Understand the Problem
The question is asking which table correctly represents the relationship between the number of books and their total cost based on the given information that 4 books cost $46. We need to analyze each option to determine which one maintains the correct pricing structure.
Answer
C
Answer for screen readers
C
Steps to Solve
- Determine the cost per book Calculate the cost of one book based on the information given.
Given that 4 books cost $46, the cost per book is calculated as: $$ \text{Cost per book} = \frac{46}{4} = 11.5 $$
- Verify the tables against the cost per book Check each table to see if the total cost corresponds to the number of books at the price of $11.50 per book.
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For Table A:
- 8 books: $11.50 \times 8 = 92 ; (not; $50)$
- 12 books: $11.50 \times 12 = 138 ; (not; $54)$
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For Table B:
- 1 book: $11.50 \times 1 = 11.50 \quad (Correct)$
- 2 books: $11.50 \times 2 = 23 ; (not; $12.50)$
- 3 books: $11.50 \times 3 = 34.50 ; (not; $13.50)$
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For Table C:
- 5 books: $11.50 \times 5 = 57.50 \quad (Correct)$
- 6 books: $11.50 \times 6 = 69 \quad (Correct)$
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For Table D:
- 1 book: $11.50 \times 1 = 11.50 \quad (Correct)$
- 11 books: $11.50 \times 11 = 126.50 ; (not; $21.50)$
- Identify the correct table After checking, only Table C shows correct total costs based on the price per book that we calculated.
C
More Information
Table C accurately reflects the relationship between the number of books and their total cost, showing correct calculations based on the cost of $11.50 per book.
Tips
- Miscalculating the cost per book: Ensure correct division when determining cost per unit.
- Not checking all entries: Sometimes only checking one or two entries can lead to assuming a table is correct when it isn't.
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