Download Exponential Growth I

Analysis
Exponential Growth and Decay I
Name________________
Date_________________
1. The current population of Sri Lanka is approximately 5,300,000
people and has a continuous growth rate of 2.85%. The neighboring
country of Thailand has a population of 4,850,000 people and has a
continuous growth rate of 3.23%. With this information, determine
how many years it will take for these neighboring countries to have
equal populations.
2. An investment grows 3% per year continuously for 10 years. By what
total percent does it grow?
3.
An investment grows by 30% over a 5-year period. What is its annual
percent growth rate? (Assume continuous interest.)
4. Suppose that the population of a colony of bacteria increases
continuously. If the population at the start of an experiment is 9,000
and 5 hours later the population is 11,400, how long from the start of
the experiment will it take for the population to reach 15,000?
5. A rubber ball is dropped onto a hard surface from a height of 8 feet,
and it bounces up and down. At each bounce, the ball loses 15% of its
previous height.
a) How high will the ball bounce after the 9th bounce?
b) How long before the ball rises no higher than 1 inch?
6. A colony of bacteria grows exponentially. The colony begins with 5
bacteria, but after 4 hours the beginning of the experiment, it has
grown to 150 bacteria.
a) What is the growth factor of the function used to express this
problem?
b) Exactly how long does it take the colony to grow to five times its
original size?
Exponential Growth Decay 1
Mr. John Cendrowski
Lower Moreland HS