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.

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.

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