The bar graphs show boxoffice receipts in millions of dollar

The bar graphs show box-office receipts, in millions of dollars, and box-office admissions, in millions of tickets sold, for five selected years. The polynomial models of degree 2 can be used to describe the data in the bar graphs where R is receipts in millions of dollars, A is admissions, in millions of tickets sold, and x represents the number of years after 1980. Complete parts a. through d. a. Use the data displayed by the bar graphs to find the average admission charge for a ticket in 2000. $754 (Round to the nearest cent as needed.)

Solution

in year 2000 A(20 ) = - 0.2(20)^2 + 22*20 + 1016 = 1376 million of tickets

in year 2000 receipts R(20) = 3.5x^2 + 158x + 2787 = 7347 million of dollar

Avg admission charge for a ticket in 2000 = 7347/1376 = $ 5.34