a. Find the exponential function that models the data.

b. According to the model, in which year were there 400 million cellphone subscribers in the United States?

EunoR
2021-03-08
Answered

Use the exponential growth model $A={A}_{0}{e}^{kt}$ to solve: In 2000, there were 110 million cellphone subscribers in the United States. By 2010, there were 303 million subscribers

a. Find the exponential function that models the data.

b. According to the model, in which year were there 400 million cellphone subscribers in the United States?

a. Find the exponential function that models the data.

b. According to the model, in which year were there 400 million cellphone subscribers in the United States?

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funblogC

Answered 2021-03-09
Author has **91** answers

Given Data:

The exponential growth model is

In 2000 the number of telephone users was 110 million.

In 2010 the number of telephone users was 303 million.

Taking 2000 as the base year (t=0) and A as the number of cellphone users then, boundary condition can be written as,

Substituting the boundary condition in the model equation,

101 million

303 million

303 million = 110 million

Thus, the required model equation is,

The time after which the telephone users will be 400 million can be determined as,

Thus, the year in which the number of telephone users will be 400 million is

Thus, in the year 2013 the number of telephone users will be 400 million.

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