Amanda buys a new car for €25,000 - Leaving Cert Mathematics - Question 9 - 2015
Question 9
Amanda buys a new car for €25,000. She knows that the value of cars depreciates by a fixed percentage each year. She draws the graph below to represent the value of ... show full transcript
Worked Solution & Example Answer:Amanda buys a new car for €25,000 - Leaving Cert Mathematics - Question 9 - 2015
Step 1
Use Amanda's graph to estimate the length of time it will take for the car to depreciate from €15,000 to €10,000.
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Answer
From the graph, it can be estimated that the time taken for the value of the car to depreciate from €15,000 to €10,000 is approximately 1.8 years.
Step 2
Continue Amanda’s graph to find the approximate value of the car after 7-5 years.
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Answer
After evaluating the graph, the approximate value of the car after 7.5 years is €4,700.
Step 3
What name is given to the type of curve Amanda has drawn above?
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The curve Amanda has drawn above is known as an Exponential curve.
Step 4
On the day that Amanda bought her car, Cathal also bought a new car. His car cost €22,500.
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Answer
To find how many kilometres the cars must travel until their costs are equal, we first determine the cost per km for each car:
Amanda: Cost per km = €1.50 / 15 km = €0.10 per km
Cathal: Cost per km = €1.50 / 10 km = €0.15 per km
The difference in costs per km is €0.05. Therefore, for the total difference in car cost of €2,500, they will need to travel:
extNumberofkm=0.052500=50,000 km
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