Today you will
Solve problems involving
Exponential Growth and Decay
7-6 Exponential Growth and Decay
You have $800 that you want to put in a savings account that
pays 3% annual interest.
Question: How much money will you have after the first year?
Question: How much money will you have after the second year?
Question: How much money will you have after the third year?
Question: How much money will you have after the 20th year?
So, the exponential growth model is:
t
y = C (1 + r )
A deer population of 750 is increasing by 20% each year.
How many deer will there be after 8 years?
You start with 2 bacteria in your petri dish. The bacteria doubles
every minute. How many will you have after 10 minutes?
You have $5000. You put it in an account that pays
4% annual interest. Find:
Interest compounded
yearly
After
1 year
After
5 years
After
10 years
Interest compounded
twice a year
Interest compounded
quarterly
Exponential Decay Model:
t
y = C(1 - r)
A population of 950 deer is decreasing
by 32% every year. How many deer
will be left after 4 years?
Half-Life
Cesium-137 has a half-life of 30 years. Find the
amount of cesium-137 left from a 100-milligram sample
after 180 years.