In Country X, the average hourly wage in dollars from 1960 to 2010 can be modeled by $$f ( x ) = \left\{ \begin{array} { l l }
0.077 ( x - 1960 ) + 0.39 & \text { if } 1960 \leq x

Question

In Country X, the average hourly wage in dollars from 1960 to 2010 can be modeled by $$f ( x ) = \left\{ \begin{array} { l l } 
0.077 ( x - 1960 ) + 0.39 & \text { if } 1960 \leq x < 1995 \
0.189 ( x - 1995 ) + 3.06 & \text { if } 1995 \leq x \leq 2010
\end{array} \right.$$ Use f to estimate the average hourly wages in 1965, 1985, and 2005.
A) $3.45, $0.39, $6.84
B) $0.78, $2.32, $6.84
C) $0.78, $3.06, $6.84

Quizplus · Accepted Answer

The average hourly wage in 1965 is f(1965) = 0.077(1965 - 1960) + 0.39 = $0.78.The average hourly wage in 1985 is f(1985) = 0.077(1985 - 1960) + 0.39 = $2.32.The average hourly wage in 2005 is f(2005) = 0.189(2005 - 1995) + 3.06 = $6.84.

In Country X, the Average Hourly Wage in Dollars from 1960