Question

The unemployment rates for Canada for selected years from 1970 to 2008 can be modeled by (y = -0.009x² + 0.321x + 5.676 ) where (x ) is the number of years after 1970. Find the value of (y ) when (x = 25 ) and explain what this means.

a) 5.562, the unemployment rate in 1995
b) 8.309, the unemployment rate in 1998
c) 7.134, the unemployment rate in 1997
d) 6.721, the unemployment rate in 1996

Answer 1

To find the value of y when x=25, substitute x=25 into the given equation y = -0.009x² + 0.321x + 5.676. The value of y when x=25 is approximately 5.562, which represents the unemployment rate for Canada in 1995.

Step-by-step explanation:

To find the value of y when x=25, we need to substitute x=25 into the equation y = -0.009x² + 0.321x + 5.676.

Substituting x=25 into the equation gives y = -0.009(25)² + 0.321(25) + 5.676.

Evaluating the equation gives y = -0.009(625) + 0.321(25) + 5.676 = 5.562.

Therefore, the value of y when x=25 is 5.562. This means that in the year 1995 (25 years after 1970), the unemployment rate for Canada was approximately 5.562%.