# Exponential Growth And Decay: Question Preview (ID: 22725)

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**Olivia purchased a music system worth $18,000 in the year 2001. It loses its value by 6% per year. What is the value of the music system in 2003?**

a) $15904.48

b) $14950.51

c) $16920

d) $20224.80

**Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is the value of laptop in 2011?**

a) $21,700.14

b) $32,640

c) $31,334.40

d) $30,081.024

**In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005?**

a) $210

b) $236

c) $264

d) $23.67

**A private high school charges $57,000 for tuition, but this figure is expected to rise 10% per year. What will tuition be in 3 years?**

a) $68,970

b) $75,867.00

c) $83,453.70

d) $41,553

**Ryan bought a bike for $47,000 in the year 2002. Its value depreciates by 2% per year. What is the value of the bike in 2006?**

a) $41,634.60

b) $43,351

c) $45,138.80

d) $50,835.20

**Which of the following model is an exponential decay model?**

a) y = 12(3.57)^t

b) y = 4(1.21)^t

c) y = 1 + 6t

d) y = 7 (0.98)^t

**Max has $30 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will he have in 2 years?**

a) $24.30

b) $34.20

c) $36.30

d) $28.40

**In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?**

a) about 25,070

b) about 76,776

c) about 43,872

d) about 46,000

**Daisy purchased a food processor for $23,000 in the year 2009. It loses its value by 7% per year. What is the price of the food processor in 2012?**

a) $18,500.21

b) $28,176

c) $11,969.45

d) $20,150

**Adam bought a fish aquarium worth $2,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of fish aquarium after 5 weeks?**

a) about $1,717.47

b) about $2,318.55

c) about 1,770.59

d) about $1,659

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