question archive The average monthly bill for telephone subscribers from 1985 to 2008 can be modeled by B(x)= -1
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The average monthly bill for telephone subscribers from 1985 to 2008 can be modeled by B(x)= -1.857x+96.788 , where x is the number of years after 1980. If this model remains valid, in what year will the average monthly bill be $24.37?
The average monthly wireless phone bill would be $24.37 in the year _____?
(Do not round until the final answer. Then round to the nearest whole number as needed.)
The average monthly wireless phone bill would be $24.37 in the year 2019.
Step-by-step explanation
The average monthly bill for telephone subscribers from 1985 to 2008 can be modeled by
B(x)= -1.857x+96.788
where x is the number of years after 1980
Given :
Average monthly income = $24.37
=> B(x) = 24.37
- 1.857x + 96.788 = 24.37
- 1.857x = 24.37 - 96.788
- 1.857x = - 72.418
x = 72.418/1.857 = 38.997
Rounding to the nearest whole number,
x = 39
It means that after 39 years after 1980, the monthly wireless phone bill is $24.37.
Year = 1980 + 39 = 2019
The answer is 2019.
Answer:
The average monthly wireless phone bill would be $24.37 in the year 2019.