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Write an exponential function to model the following situation.

A population of 110,000 grows 4% per year for 15 years.
how much will the population be after 15 years?

User OSH
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1 Answer

2 votes

Answer:

For 15 years -
110,000(1.04)^(15)

After 15 years -
110,000(1.04)^(x+15)

Explanation:

We have that,

Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.

Since, the exponential growth is given by
P(1+r)^(x),

where P is the initial population, r is the rate of interest and x is the number of years.

Thus, the required population is
110,000(1+0.04)^(15) i.e.
110,000(1.04)^(15).

Moreover, after 15 years i.e. x+15 years, the population will be
110,000(1.04)^(x+15).

Thus, the population after 15 years is
110,000(1.04)^(x+15).

User Michael Pasqualone
by
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