1. Tacoma's (WA) population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write an explicit formula for the population of Tacoma. b. If this trend continues, what will Tacoma's population be in 2016? c. When does this model predict Tacoma's population to exceed 400 thousand?

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1. Tacoma's (WA) population in 2000 was about 200 thousand, and had been growing
by about 9% each year.
a. Write an explicit formula for the population of Tacoma.
b. If this trend continues, what will Tacoma's population be in 2016?
c. When does this model predict Tacoma's population to exceed 400 thousand?
2. Portland's population in 2007 was about 568 thousand, and had been growing by
about 1.1% each year.
a. Write an explicit formula for the population of Portland.
b. If this trend continues, what will Portland's population be in 2016?
c. If this trend continues, when will Portland's population reach 700 thousand?
3. The population of the world in 1987 was 5 billion and the annual growth rate was
estimated at 2 percent per year. Assuming that the world population follows an
exponential growth model, find the projected world population in 2015.
4. A bacteria culture is started with 300 bacteria. After 4 hours, the population has
grown to 500 bacteria. If the population grows exponentially,
a. Write an explicit formula for the number of bacteria
b. If this trend continues, how many bacteria will there be in 1 day?
c. How long does it take for the culture to triple in size?
Transcribed Image Text:1. Tacoma's (WA) population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write an explicit formula for the population of Tacoma. b. If this trend continues, what will Tacoma's population be in 2016? c. When does this model predict Tacoma's population to exceed 400 thousand? 2. Portland's population in 2007 was about 568 thousand, and had been growing by about 1.1% each year. a. Write an explicit formula for the population of Portland. b. If this trend continues, what will Portland's population be in 2016? c. If this trend continues, when will Portland's population reach 700 thousand? 3. The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015. 4. A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially, a. Write an explicit formula for the number of bacteria b. If this trend continues, how many bacteria will there be in 1 day? c. How long does it take for the culture to triple in size?
5. A native wolf species has been reintroduced into a national forest. Originally 200
wolves were transplanted. After 3 years, the population had grown to 270 wolves. If
the population grows exponentially,
a. Write an explicit formula for the number of wolves
b. If this trend continues, how many wolves will there be in 10 years?
c. If this trend continues, how long will it take the population to grow to 1000
wolves?
6. India had a population in 2008 of about 1.14 billion people. The population is
growing by about 1.34% each year. If this trend continues, when will India's
population reach 1.2 billion?
Transcribed Image Text:5. A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted. After 3 years, the population had grown to 270 wolves. If the population grows exponentially, a. Write an explicit formula for the number of wolves b. If this trend continues, how many wolves will there be in 10 years? c. If this trend continues, how long will it take the population to grow to 1000 wolves? 6. India had a population in 2008 of about 1.14 billion people. The population is growing by about 1.34% each year. If this trend continues, when will India's population reach 1.2 billion?
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