Exponential Growth
The population of Boone can be represented by the equation p = 3,500 x 2t where t is the number of years since 2000. What does 3,500 mean in this situation?
The starting population
The population of ants can be represented by the equation p = 300(3/4)t where t is the number of years. What does 3/4 mean in this situation?
3/4 of the population remains each year
What is the growth/decay factor that represents a 25% increase?
1.25
Write an equation to represent this situation: A savings account has $600 in it and earns 3% interest each year.
600(1.03)y
A savings account earn 16% annual interest that is compounded quarterly. What percent do you earn each quarter?
4%
A population of mice is represented by the equation p= 400 x 3t where t represents the months since the population was counted. How many mice will there be in 5 months?
97,200
The population of dolphins can be represented by the equation p = 600(2/3)t where t represents the number of years. How many dolphins will there be in 7 years?
35
What is the growth/decay factor that represents a 3% increase?
1.03
Write an equation to represent this situation: the population of elephants is 1800 and is decreasing at a rate of 13% each month.
1800(0.87)m
A new company started with $1,200 in sales. The sales are growing at 6% each month. Write an expression and solve to determine the sales after 2 years.
1,200(1.0612)2= 4,858.72
A population of fish is 600 and it doubles each year. Write an equation to represent the population in t years.
p = 600 x 2t
I bought a computer for $750. It loses 1/5 of its value each year. Write an equation to represent how much it will be worth in t years.
750(4/5)t
What is the growth/decay factor that represents a 22% decrease?
0.78
I have $300 in my savings account and earn 5% interest each year. How much money will I have it 10 years?
$488.67
A store had 250 customers when they opened. They have had good growth of 4% each month. Write an expression and solve to determine the number of customers after 7 years.
250(1.0412)7 = 6,741
A population of elephants in 3,000 and it triples each year. How many elephants will there be in 5 years?
729,000
I bought a phone for $500. It loses 1/4 of its value each year. How much will it be worth in 3 years?
$210.94
A growth factor of 1.08 represents a what percent increase?
8%
A population of sheep is currently 460 and decreasing by 4% each day. How many sheep will there be in 7 days?
346
A savings account earns 20% interest each year, compounded quarterly. If a person invests $800, what is the balance in the account after 5 years?
800(1.054)5 = 2,122.64
The population of Des Moines in years since 2015 can be represented by the equation p = 20,000 x 2t. What exponent would you use to determine the population in 2007?
t = -8
A population of penguins in April is represented by the equation p = 850(1/3)t where t represents the months since April. What exponent would you use to determine the population in February?
t = -2
A decay factor of 0.65 represents a what percent decrease?
35%
The population of Ankeny is 45,000 and is decreasing by 18% each year. How many people will there be in 8 years?
9,199
A savings account earns 36% interest each year, compounded monthly. If a person invests $600, what is the balance in the account after 3 years?
600(1.0312)3 = 1,738.97