In 2006, there were approximately 233 million cell phone subscribers in the United States. During the next 4 years, the number of cell phone subscribers increased by about 6% each year.

a. Write an exponential growth model giving the number of cell phone subscribers y (in millions) t years after 2006.

Question

Leland

Mathematics

6 March, 01:48

In 2006, there were approximately 233 million cell phone subscribers in the United States. During the next 4 years, the number of cell phone subscribers increased by about 6% each year.

a. Write an exponential growth model giving the number of cell phone subscribers y (in millions) t years after 2006.

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Answers (1)

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Avah · Answer 1

The general formula for an exponential growth is:

F = P (1 + i) ^t

where F is the future amount in t years

P is the present amount

i is the fraction of increase per time

t is the time

for the increase cellphone subscriber

P = 233

i = 0.06

so

F = 233 (1 + 0.06) ^t

F = 233 (1.06) ^t