To Start
What is the starting value in the following equation: y=C(1.02)x
C
What is the growth rate factor in the following equation? y=C(r)t
r
What letter represents time in the following equation? A=P(1+r)t
t
A pair of gold earrings you bought 5 years ago for $100 increases in value by approximately 2% each year. What is the value of the earrings now?
$110
You buy a new laptop for $3,000. The computer depreciates in value by 40% each year. What will be the value of the computer in 5 years?
$233
A gold necklace you bought in 2001 for $500. It has increased in value by approximately 2% each year. What is the initial value of the necklace?
$500
A home purchased in 1999 for $125,000, has increased in value by approximately 1.5% each year. The current value of the home is $156,250. What is the growth rate %?
1.5%
You have deposited $500 in a bank account that pays 8% interest compounded yearly. After 6 years, you have $793. What is the time?
6 years
An investment of $10,000 increases at a rate of 10% exponentially annually. Find the value of the investment after 10 years.
$25,937.43
A $12,000 car depreciates at a rate of 5% each year. What will be the value of the car in 10 years?
$7,185
An initial population of 70 deer doubles each year. In 10 years the population is 71,680. What number represents a?
70
In the equation: y=C(r)t , What does the r represent?
The growth/decay rate or rate factor?
You bought a car for $5,000. It depreciates in value by approximately 3% each year. After 2 years, your car is worth $4,704.50. What number would be represented by t in the equation: y=C(1-r)t
2
A model train was bought 20 years ago for $300. It increases in value by about 2.5% each year. What is the value of the model train today?
$491
You drink a cup of espresso with 160 mg of caffeine. Each hour, the caffeine in your system decreases by about 15%. How much caffeine is in your system after 3 hours?
98 grams
An iPod cost $200 in 2005. It has depreciated in value by about 5% each year. The current value of the iPod is $126. What was the initial amount of the iPod?
$200
Bacteria double every hour. The starting amount of bacterial cells in a petri dish was 6. In three hours the amount had grown to 48. What is the growth rate %? Think about it!
100%
A house was bought in 1972 for $20,000. It has increased in value by approximately 3.7% each year. Today the house is worth $91,989. What number would be used for time (t)?
47
An initial population of 50 crickets triples each year for 5 years. What is the population of crickets now?
12,150
An adult takes 200 mg of Tylenol. Each hour, the amount of Tylenol in the person’s system decreases by about 40%. How much ibuprofen is left after 2 hours?
72mg
In the equation: y=u(1+r)^t What does u equal?
The starting amount (initial value).
In the equation: y=C(1+r)t , you could use (1+r) to find the rate %. T or F?
True
Your grandfather bought your grandmother's engagement ring in 1947 for $500. It has increased in value by approximately 1.33% each year. Today the ring is valued at $1,212. What number would be used for time (t)?
72
A piece of land was bought for $70,000 in 1988. If the value of the land increases by approximately 3.7% each year, what is the value of the land today?
$215,893.46
A golf tournament starts with 150 participants. During each round, one quarter of the players are eliminated. How many players remain after 10 rounds?
9