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The function f(t) = 750t + 20,000 models the number of movie theaters in the United States t years after 1985. Use this equation to predict the year in which the United States will have 35,000 movie theaters.

User OlehZiniak
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1 Answer

4 votes

Given:

The function models the number of movie theaters in the United States t years after 1985.


f(t)=750t+20,000

To find:

The year in which the United States will have 35,000 movie theaters.

Solution:

We have,


f(t)=750t+20,000

Putting f(t)=35000, we get


35,000=750t+20,000


35,000-20,000=750t


15,000=750t

Divide both sides by 750.


(15,000)/(750)=t


20=t

It means, United States will have 35,000 movie theaters 20 years after 1985.


1985+20=2005

Therefore, United States will have 35,000 movie theaters is 2005.

User Lucas Steffen
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