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Let C ( t ) be the number of US cell phone subscribers in millions in t years since 1995. A linear model for the data is F ( t ) = 18.997 t + 17.711 .
Use the model to predict the year in which the number of subscribers will 324 million

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ANSWER

In 16 years time.


EXPLANATION.



If the number of subscribers is 324 million, then it means


[tex]f(t)=324[/tex]


But we were given that,


[tex]f(t)=18.997t+16.711[/tex]



This implies that,


[tex]324=18.997t+16.711[/tex]


We now solve for t,



[tex]324-16.711=18.997t[/tex]



[tex]307.289=18.997t[/tex]



[tex]\frac{307.289}{18.997}=t[/tex]



[tex]16.17566=t[/tex]



That will be approximately in the 16th year.











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