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Question
A photocopy store charges ₹ 1.50 per copy for the first 10 copies and ₹ 1.00 per copy after the 10th copy. Let x be the number of copies, and let y be the total cost of photocopying. Draw graph of the cost as x goes from 0 to 50 copies
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Solution
Let x represent the number of copies and y represent the cost of photocopying.
Given photo copying charge for 1 copy is ₹ 1.50 for the first 10 copies and ₹ 1.00 per copy after the 10th copy.
∴ The relation connecting the number of copies and cost of photocopying charge is given by
y = 1.50x, 0 ≤ x ≤ 10
y = 10(1.50) + (x – 10) (1)
y = 15 + x – 10
y = x + 5 ......(1)
∴ y = `{{:(1.50x, "if" 0 x ≤ 10),(x + 5, "if" x > 10):}`
The graph for 0 to 50 copies:
| x | 10 | 20 | 30 | 40 | 50 |
| y | 15 | 25 | 35 | 45 | 55 |
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