Solve the problem.
-In the town of Milton Lake, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing.
Let x represent the number of years since 1990 and y represent the percentage of women in Milton Lake
Who smoke. The graph of y against x includes the data points (0, 16.6)and (13, 19.98). Let x represent the
Number of years since 1990 and y represent the percentage of men in Milton Lake who smoke. The graph
Of y against x includes the data points (0, 28.8)and (14, 25.86).
Determine when the percentage of women who smoke will be the same as the percentage of men who
Smoke. Round to the nearest year. What percentage of women and what percentage of men (to the nearest
Whole percent)will smoke at that time?
[Hint: first find the slope-intercept equation of the line that models the percentage, y, of women who
Smoke x years after 1990 and the slope-intercept equation of the line that models the percentage, y, of men
Who smoke x years after 1990]

Question

Quizplus · Accepted Answer

The slope-intercept equation of the line that models the percentage, y, of women who smoke x years after 1990 is y = 0.25x + 16.6. The slope-intercept equation of the line that models the percentage, y, of men who smoke x years after 1990 is y = -0.21x + 28.8. To find when the percentage of women who smoke will be the same as the percentage of men who smoke, we set the two equations equal to each other and solve for x:0.25x + 16.6 = -0.21x + 28.80.46x = 12.2x = 26.52Rounding to the nearest year, the percentage of women who smoke will be the same as the percentage of men who smoke in 2017. At that time, the percentage of women who smoke will be 0.25(26.52) + 16.6 = 23.38%, rounded to 23%, and the percentage of men who smoke will be -0.21(26.52) + 28.8 = 23.38%, rounded to 23%.

Solve the Problem. -In the Town of Milton Lake, the Percentage of Women