Exponential Decay
Exponential Growth
Compound Growth
Graphs
Miscellaneous
100
What is a decay rate?
The amount, usually expressed as a percentage, that something shrinks by over a time period.
100
What is the growth rate? 12 15 18.75
.25 or 25%
100
What is the compound growth formula?
A = P ( 1 +r/n)^nt
100
Does the graph represent exponential growth, exponential decay, a linear model or none of the above?
exponential growth
100
What is the meaning of a "half-life"?
The time required for something to fall to half its initial value.
200
What is a decay factor? Explain using words, not how to calculate.
The percent, expressed as a decimal, of the amount remaining after one period.
200
What is the growth factor? 100200 400
2
200
What is the meaning of "principal"?
The initial amount at the beginning of a period.
200
Does this graph represent exponential growth, decay, linear growth or none of the above?
exponential decay
200
What is the magnitude of the decay factor?
greater than 0 and less than 1
300
How do you turn a decay rate into a decay factor?
Ans: turn the decay rate into a decimal and then subtract from one.
300
There are 240 rabbits living in the neighborhood. After one year there are 276 rabbits. If the rabbits continue to increase at the same rate, what percent does the rabbit population increase by every year. What is the growth factor?
15% Growth factor is 1.15
300
What is the meaning of "compound interest"?
Interest that is calculated on the basis of both principal and interest in an account.
300
This graph represents exponential growth, decay, linear growth, or none of the above.
neither
300
What is the beginning amount? y = (.35)^x
1 or 100%
400
In a table, if you divide by 4 to get the next number, what is the decay factor?
.25
400
You purchase a Kobe Bryant trading card for $300. The value of the card increases 7% each year. Write the corresponding equation.
300 x 1.07^x
400
How many times is interest compounded in one year if it is compounded bi-monthly?
6
400
This graph represents exponential growth, decay, linear growth or none of the above.
exponential growth
400
The function y = x^2 is an example of an exponential growth, decay, linear growth function or none of the above?
None of the above.
500
Each year the local country club sponsers a tennis tournament. Play starts with 128 players. During each round, half of the players are eliminated. Write the exponential equation that models this data.
128 x .5^x
500
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number of years it takes for the population to grow to 42,500.
Between 7 and 8 years
500
My grandparents bought me $10,000 in savings bonds on the day I was born. They earn 3% annual interest compounded semi-annually. How much are they worth on my 19th birthday?
$17,091
500
This graph represents exponential growth, decay, linear growth or none of the above?
exponential decay
500
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?
43871