Question

Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula R = -40 |x - 11| + 990 where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980. In what years was the passenger revenue $790 million?

Answer 1

Answer:

1986, 1996

Step-by-step explanation:

       Given, Annual passenger revenue for the years 1980 to 2000 id=s modeled with the formula $R=-40|x-11|+990$.

Here, $R$ is the annual revenue in millions of dollars, $x$ is the number of years since January 1, 1980.

       Revenue in a year was $ 790 million.

So, $R=790\\-40|x-11|+990=790\\40|x-11|=200\\|x-11|=5\\x-11=5\text{ (or) }x-11=-5\\x=16\text{ (or) }x=6$

       So, after 6 yrs and 16 yrs from January 1, 1980, the Passenger revenue equals $ 790 million.

∴ Passenger revenue equals $ 790 million in 1986 and 1996.