Question

tial growth and decay: word problems UKG
You have prizes to res
In Booneville, the use of landlines has been declining at a rate of 20% every year. If there are
25,300 landlines this year, how many will there be in 5 years?
If necessary, round your answer to the nearest whole number.
landlines

Answer 1

Using an exponential function, it is found that there will be 8290 landlines in 5 years.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, we have that the initial value and the decay rate are given as follows:

A(0) = 25300, r = 0.2.

Hence the function is given by:

$A(t) = 25300(0.8)^t$

In t = 5 years, the amount of landlines will be given by:

$A(5) = 25300(0.8)^5 = 8290$

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

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