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Given:
The function models the number of movie theaters in the United States t years after 1985.
To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,
Putting f(t)=35000, we get
Divide both sides by 750.
It means, United States will have 35,000 movie theaters 20 years after 1985.
Therefore, United States will have 35,000 movie theaters is 2005.