The minimum hourly wage (in dollars per hour) in a country can be approximated by the equation y = 0.12x + 1.18. In this equation, x represents the number of years since 1970 (x = 0 represents 1970, x = 5 represents 1975, and so on).
(a) Use the equation to approximate the minimum wage in the year 2005.
The minimum wage in 2005 is approximately $5.38.
(b) Use the equation to estimate the minimum wage in the year 2010.
The minimum wage in 2010 is approximately $5.98.
(c) Determine the y-intercept. Interpret the meaning of the y-intercept in the context of this problem.
The y-intercept is (0, 1.18). In the year 1970, the minimum wage was approximately $1.18 per hour.
(d) Determine the slope. Interpret the meaning of the slope in the context of this problem.
The slope is 0.12. This indicates that the minimum wage has increased by approximately $0.12 per year during this period.