students chain

Question

Two young college graduates opened a chain of print shops. The chain expanded rapidly during the early 1990s and many new stores were opened. The number of print shops in operation during any year from 1990 to 2005 is given by the equation
y=−2.5x2+27.5x+119
where x is the number of years since 1990. How many print shops where there in
1995?

Answer 1

The starting value for x is 0, which represents year 1990.

1995 is 5 years later, so we would use x = 5 to determine the number of shops operating in 1995.

 

   y = 2.5x² + 27.5x + 119

      = 2.5(5)² + 27.5(5) + 119

      = 2.5(25) + 137.5 + 119

      = 62.5 + 137.5 + 119

      = 319

 

There were 319 shops in 1995