do now: -take out binder and calc. · -take out binder and calc.-take out hw 1) alberto invested...
TRANSCRIPT
201928 U6L7day 2_partially done.notebook February 08, 2019
pgs. 203-209U4L12 and U4L13Bring in by Monday!
Today is Friday2/8/19
Do Now:-Take out binder and calc.-Take out HW
1) Alberto invested $5,000 at 6% interest compounded annually. What will be the value of Alberto's investment after 8 years? Round to the nearest cent.
Warmup
201928 U6L7day 2_partially done.notebook February 08, 2019
U6L7
Goals:
Exponential Models Based on
Percent Growth
To combine what we know about exponential functions and calculating percent increase/decrease
Exponential Growth Based on a Percent
Initial Rate (decimal)Time
y = a (1 + r)ty = a(b)x
Initial Rate (decimal)
Time y = a (1 r)t
Exponential Decay Based on a Percent
201928 U6L7day 2_partially done.notebook February 08, 2019
2) Mr. Frey has a massive collection of pez dispensers. He has 246,416 of them. He decides this is too many and gives away 11 percent of his collection every month. How many, to the nearest whole number, will he have after one year of giving them away?
3) In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of
subscribers increased by 75% per year after 1985. How many cell phone subscribers were in
Centerville in 1994? (Round to the nearest whole number)
201928 U6L7day 2_partially done.notebook February 08, 2019
4) A Subaru Outback purchased in 2002 at a cost of $37,500 decreases in value by 27% every year. What is the car's value today (in 2019)? Round to the nearest cent.
5)
201928 U6L7day 2_partially done.notebook February 08, 2019
6) Write an exponential equation for the graph shown below.
7) In 1995, there were 85 rabbits in Central Park. The population increased by 3.5% each year. To the nearest whole number, how many rabbits
were in Central park in 2005.
y = 85(1.035)10
y = 120
201928 U6L7day 2_partially done.notebook February 08, 2019
8)Each year the local country club sponsors a tennis tournament. Play starts with 1024
participants. During each round, half of the players are eliminated. How many players
remain after 5 rounds?y = 1024(.5)5
y = 32
9)
10)
201928 U6L7day 2_partially done.notebook February 08, 2019
11)
x 1.5 x 1.5x 1.5
080
y = 80(1.5)x
y = 80(1.5)26
y = 3,030,140 downloads
No, it would be more reasonable that a lot of people download it initially, but the rate of people downloading will slow down over time.
12) A house that was originally bought for $53,000 in 1928 has appreciated value at a rate of 4% per year. How much would that house sell for today?
y = 53,000(1.04)t t = 20191928 = 91
y = 53,000(1.04)91
y = $1,880,657.65
201928 U6L7day 2_partially done.notebook February 08, 2019
13) Margaret puts $800 into an account that has an annual interest rate of 12%. If she does not add or
remove money from this account, how long will it take her to have at least $14,000?
b. How much money will Margaret have after 35 years?
y = 800(1.12)x
It will take 26 years
y = 800(1.12)35
y = $42,239.70