Math Problem Statement
Solution
To solve this table, we need to determine the values of and , following the relationship between the number of items and their cost. Based on the data, this relationship appears to be proportional.
Step 1: Confirm proportionality
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For 5 items, the cost is . This gives a cost per item of:
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Similarly, for 10 items, the cost is :
Since the cost per item is constant (), we can conclude that the relationship is proportional.
Step 2: Calculate (cost for 7 items)
The cost for 7 items is:
Step 3: Calculate (number of items for 60 R)
To find , we solve:
Final Table
\hline \text{No. of Items} & 5 & 7 & 10 & 15 \\ \hline \text{Cost (R)} & 20 & 28 & 40 & 60 \\ \hline \end{array}$$ --- Let me know if you'd like further details or have additional questions! ### Related Questions 1. What is the general formula for finding cost given the number of items? 2. How can you determine if a relationship is proportional? 3. What happens if the cost per item changes? How would you adjust the calculations? 4. Can this type of proportional relationship be represented graphically? If yes, how? 5. How would you solve this problem if only partial information (e.g., just $$A$$) was given? ### Tip Always check if the relationship between two quantities is proportional by dividing one by the other to confirm if the ratio remains constant!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Proportionality
Ratios
Basic Arithmetic
Formulas
Cost per item = Total cost / Number of items
Total cost = Number of items × Cost per item
Theorems
Proportional Relationship Theorem
Suitable Grade Level
Grades 6-8
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