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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
3.1.1 Write down the number of pages at the point where Contract 2 and Contract 3 cost the same.
Answer
To determine the point where Contract 2 and Contract 3 cost the same, we analyze the graph provided in the ANSWER SHEET. By finding the intersection of the two lines representing Contract 2 and Contract 3, we can identify the number of pages at which their costs are equal. This point can be visually estimated, and the number corresponding to this intersection is noted.
Step 2
3.1.2 Academy School makes 1 500 copies per month.
Answer
Since Academy School makes 1 500 copies per month, we will refer back to the graph in the ANSWER SHEET to evaluate which contract is most economical based on the number of copies. We will check the cost for 1 500 copies against each contract.
Step 3
3.1.3 Determine which contract will be the cheapest.
Answer
Comparing the costs derived from the graph at the 1 500 copies mark, we note the total costs for Contracts 1, 2, and 3. The contract with the lowest cost will be considered the cheapest option. Thus, we conclude which contract saves the most money based on the data presented.
Step 4
3.1.4 Copy King charges a rate of R0,70 per copy for hiring their copying machine with no other costs.
Answer
To plot the costs for Copy King, we use the fixed cost and multiply the number of copies (x) by R0,70. The formula used for this graph will be: (y = 0.70x). This line starts at the origin (0,0) and increases linearly. Use the graph grid on the ANSWER SHEET to accurately plot this line for varying numbers of copies.