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In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,
how many Hoosiers will have a home phone in 2011? Round to two decimal places.

Respuesta :

Using an exponential function, it is found that 2,097,254.44 Hoosiers will have a phone in 2011.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

The parameters in this problem are given as follows:

A(0) = 3286000, r = 0.04.

Hence the equation for the number of Hoosiers that will have a phone in t years after 2000 is:

[tex]A(t) = 3286000(0.96)^t[/tex]

The amount in 2011(11 years after 2000) will be of:

[tex]A(11) = 3286000(0.96)^{11} = 2,097,254.44[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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