Question

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by

Answer 1

`2.75,\ 0.1x`

`2.75`

Explanation:

In the expression
`2.75+0.1x` the number
`2.75` represents the cost of a movie ticket in 1980 and
`x` represents the years after 1980. So increase per year is represented by
`0.1x`.

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980,
`x` will be
`2`.

In 1980, zero years have passed so,
`x=0`

Therefore the cost of movie tickets is represented by
`2.75+0.1* 0=2.75`