Download 10.3 Exponential Growth Worksheet

Honors Discrete
Name: _____________________________
Chapter 10: Exponential Growth Model Worksheet
Complete work on a separate piece of paper, if needed.
1) The population of a school in consecutive years increases by 20%, then increases by
10%, then increases by 5%, and then suddenly decreases by 30%. What value is the
new student population as a percentage of original population of students?
2) The number of flowers in a botanical garden grows by 15% each year for the next 15
years. If the original number of flowers was 125, then how many flowers are there
predicted to be in 10 years?
3) The number of reported cases of the rare X-virus is suppose to decay by 30% each year
for 10 years. There currently are 1,200,000 cases of X-virus worldwide. How cases are
expected 6 years from now?
4) The number of certain type of bacteria increases at a rate of 20% every year. Suppose
there were 288 bacteria in 2009.
a. How many bacteria were there in 2007?
b. How many bacteria will there be in 2012?
5) Find P12 for the geometric sequence: 3.5, 9.45, 25.515, 68.8905 …
6) Find P5 if P8 = 18 and P9 = 72.
7) Find the sum P0 + P1 + P2 + … + P10 for the geometric sequence with common ratio
of 2.2 and P0 = 3.
8) How much interest would you earn on an account with 20% annual interest rate
compounded daily that you initially invested $100 into for 1 year?
9) Marsha has an option between two savings accounts. Account #1 she plans to invest
$4500 at 20% annual interest rate compounded quarterly and Account #2 she plans to
invest $6000 at 15% annual interest rate compounded monthly.
a. Which account should she choose if she only needed to save money for 5 years?
b. Which account should she choose if she needed to save money for 10 years?
10) Determine the annual yield if you originally invest $250 and 1 year later the account
has $295.
11) Determine the annual yield if you originally invest $300 and 2 years later the account
has $356.43.
12) Find the sum P0 + P1 + P2 + … + P20 for the geometric sequence with common ratio of
1.9 and P0 = 0.5