January 20, 2016
State whether the function is an exponential
growth or decay. Then describe its end
behavior.
1.
Find the exponential function that
satisfies the given conditions:
2. Initial value = 24, increasing at a rate of
5.3% per day
3. Initial population = 67,000, increasing at a
rate of 1.67% per year
4. Initial height = 18 cm, doubling every 3
weeks
5. Initial mass = 117 g, halving once every 262
hours
January 20, 2016
6. Find the amount A accumulated after
investing a principal P=$450 for 3 years at
an interest rate of 4.6% compounded
annually.
7. Find the amount A accumulated after
investing a principal P=$4800 for 17 years at
an interest rate of 6.2% compounded
quarterly.
January 20, 2016
8. The population of Metroville is 123,000 and is
decreasing by 2.4% each year.
a) Write a function that models the population
as a function of time t.
b) Predict when the population will be 50,000.
9. The number of rabbits in Elkgrove doubles
every month. There are 20 rabbits present
initially.
a) Express the number of rabbits as function of
the time t.
b) How many rabbits were present after 1 year?
After 5 years?
c) When will there be 10,000 rabbits?
January 20, 2016
10. The number of guppies in Susan's aquarium
doubles every day. There are four guppies
initially.
a) Express the number of guppies as a
function of time t.
b) How many guppies were present after 4
days? after 1 week?
c) When will there be 2000 guppies?
11. The
number of students infected with the flu
after t days at Springfield High School is
modeled by the function:
a) What was the initial number of infected
students?
b) When will 800 students be infected?
c) The school will close when 400 of the 1600
student body are infected. When would the
school close?