AI HL Modelling Functions
1. A plumber charges a fixed amount for a call out and then a fixed hourly charge. Which graph represents his 'charge function'?
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Questions 2 to 4. A piecewise function is shown below.
2. Find f(1.5)
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3. Find f(5)
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4. Find f(0)
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5. Eric the Bricky is a freelancer bricklayer. He charges $30 per hour for the first 30 hours a week and then $48 per hour for the any hours worked after that. Which of the following represents a billing function for Eric?
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6. Using the model you found in 3, or otherwise, find the bill Eric will give out for working a 40 hour week.
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Questions 7 and 9.  The table below shows the value of a car (V) after t years. The value of the car is depreciating a a linear rate.
7. Which of the following is the correct model for the value of the car?
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8. What was the original cost of the car?
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9. When will the car be written off as having no value?
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Question 10. The table below shows a power model.
10. By using a GDC, find the model.
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Question 11 The table is a quadratic function. Use your GDC to find the function.
11. Select the correct answer
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12. Tax is Messypotmania is calculated as follows: 0% on the first $10,000; 10% on the next $15,000; 25% on the next $65,000; 50% on any earning above $90,000.  Charlie Bigbanks earns $130,000 per year. How much does he pay in tax?
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