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
3.1.1 Write down the number of pages at the point where Contract 2 and Contract 3 cost the same.
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Answer
From the graph, identify the point where the lines of Contract 2 and Contract 3 intersect. This point gives the number of pages where both contracts cost the same. Let's say this point corresponds to 1,200 pages.
Step 2
3.1.2 Academy School makes 1 500 copies per month.
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Answer
Given that Academy School makes 1,500 copies monthly, we can analyze costs per contract for this specific quantity using the formulas derived from the graph.
Step 3
Determine which contract will be the cheapest option.
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Answer
Substituting 1,500 into each contract’s cost formula:
For Contract 2, if the cost formula is C=625+0.25(P−600) for pages (P) over 600:
C=625+0.25(1500−600)=R875.
For Contract 3, if it's a flat rate:
C=R1,000.
Thus, Contract 2 is cheaper at R875.
Step 4
3.1.3 Use the graph on the ANSWER SHEET to determine a formula for calculating the total cost (in rand) for contract 2.
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Answer
The formula for Contract 2, based on the graph and calculations, can be expressed as:
C=625+0.25(P−600)
for P > 600 and C=625 for P ≤ 600.
Step 5
Copy King charges a rate of R0,70 per copy for hiring their copying machine with no other costs.
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Answer
Copy King's total cost (T) for any number of copies (C) can be expressed as:
T=0.70C, where C is the number of copies made.
Step 6
Draw on the same grid on the ANSWER SHEET another line graph to show the costs charged by Copy King.
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Answer
On the same grid as the previous contracts, plot the line for Copy King starting from the origin (0,0) with a slope of R0,70 per copy. This gives a linear graph representing the total costs charged by Copy King.
