Exponential Growth And Decay Equation Worksheet With Answer Key Page 3

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8.
A Honda Accord depreciates at 15% per year. Six year ago it was purchased for
$21,000. What is it worth now?
9.
Inflation is at a rate of 7% per year. Today Janelle's favorite bread costs $3.79. What
would it have cost ten years ago?
10.
Ryan's motorcycle is now worth $2500. It has decreased in value 12% each year
since it was purchased. If he bought it four years ago, what did it cost new?
11.
The cost of a High Definition television now averages $1200, but the cost is
decreasing about 15% per year. In how many years will the cost be under $500?
12.
A two-bedroom house in Nashville is worth $110,000. If it appreciates at 2.5% per
year, when will it be worth $200,000?
13.
Last year the principal's car was worth $28,000. Next year it will be worth $25, 270.
What is the annual rate of depreciation? What is the car worth now?
14.
A concert has been sold out for weeks, and as the date of the concert draws closer, the
price of the ticket increases. The cost of a pair of tickets was $150 yesterday and is
$162 today. Assuming that the cost continues to increase at this rate:
a.
What is the daily rate of increase? What is the multiplier?
b.
What will be the cost one week from now, the day before the concert?
c.
What was the cost two weeks ago?
15.
AN APPLICATION: CHOOSING A CAR
Most cars decrease in value after you leave the dealer. However, some cars are now
considered "classics" and actually increase in value. You have the choice of owning
two cars: A 2006 Mazda Maita which is worth $19,000 but is depreciating 10% per
year, or a classic 1970 Ford Mustang which is worth $11,500 and is increasing in
value by 6% each year. Your tasks:
a.
Write an equation to represent the value of each car over time.
b.
Create tables and draw a graph to represent the value of each car for ten years on
the same set of axes.
c.
Use your graph to determine approximately when the Mazda and the Ford have
the same value.

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