Question

The average monthly bill for wireless telephone subscribers from 1985 to 2008 can be modeled by B(x) = -1 463x + 95.514, where x is the number of years after
1980. If this model remains valid, in what year will the average monthly bill be $38.46?

Answer 1

If the model remains valid, in the year 2,019 the average monthly bill will be $38.46

How to use the linear equation?

The linear equation that models the average monthly bill is:

B(x) = -$1.463*x + $95.514

We now want to know when the average monthly bill will be $38.46, then we need to solve:

B(x) = $38.46 = -$1.463*x + $95.514

Solving this for x, we get:

$38.46 = -$1.463*x + $95.514

$1.463*x = $95.514 - $38.46 = $57.054

x = ($57.054)/($1.463)  = 39

And x is the number of years after 1980, then this will be in the year:

1980 + 39 = 2,019

Then, if the model remains valid, in the year 2,019 the average monthly bill will be $38.46

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