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Pro-Print hires out photocopying machines and offers three contract options - NSC Mathematical Literacy - Question 3 - 2019 - Paper 2
Question 3
Pro-Print hires out photocopying machines and offers three contract options. The three contract options are shown in the graph on the ANSWER SHEET. Use the informat... show full transcript
Worked Solution & Example Answer:Pro-Print hires out photocopying machines and offers three contract options - NSC Mathematical Literacy - Question 3 - 2019 - Paper 2
Step 1
Write down the number of pages at the point where Contract 2 and Contract 3 cost the same.
Answer
To find the number of pages where Contract 2 and Contract 3 are equivalent, refer to the intersection point of the two graphs on the ANSWER SHEET. This point represents the number of pages where the total costs for both contracts are equal.
Step 2
Determine which contract will be the cheapest.
Answer
Given that the Academy School makes 1,500 copies per month, we need to calculate the total cost for both Contract 2 and Contract 3 at this volume. Based on the graph, Contract 2 typically has lower costs at lower page counts, while Contract 3 may be beneficial for higher page counts. After substituting 1,500 pages into both cost formulas derived from the graph, we can conclude which contract results in the lesser total cost.
Step 3
Use the graph on the ANSWER SHEET to determine a formula for calculating the total cost (in rand) for contract 2.
Answer
From the graph, Contract 2 costs can be expressed as a piecewise function:
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For the first 600 pages:
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For additional pages beyond 600:
, where P is the total number of pages.
Step 4
Draw on the same grid on the ANSWER SHEET another line graph to show the costs charged by Copy King.
Answer
To illustrate the costs charged by Copy King, plot a new line on the same grid using the formula derived from the charges of R0,70 per copy. The line will start from the origin (0,0) since there are no fixed charges, and the slope will be R0,70 for each copy, indicating a linear relationship between the number of copies and total cost.