At the beginning of 2000 (t=0), women's wages were 68% of men's wages and by the beginning of 2013 (t=0), women's wages were 68% of men's wages. If this gap between women's and men's wages continues to narrow linearly, then what percentage of men's wages will women's wages be at the beginning of 2020?
check your typing, your data makes no sense
At the beginning of 2000 (t=0), women's wages were 68% of men's wages and by the beginning of 2013 (t=13), women's wages were 78% of men's wages. If this gap between women's and men's wages continues to narrow linearly, then what percentage of men's wages will women's wages be at the beginning of 2020?
I would change my data to 2 given points of the form (t,w)
(0,68) and (13, 78), where t is in years after 2000, and w is the percentage of wages
slope = (78-68)/(13-0) = 10/13
w - 68 = (10/13)(t -0)
w = (10/13)t + 68
now replace t with 20 and evaluate w
god bless you
To find out what percentage of men's wages women's wages will be at the beginning of 2020, we need to determine the rate at which the wage gap is narrowing. Since we know that at the beginning of 2000 (t=0) and 2013 (t=13), women's wages were 68% of men's wages, we can calculate the change in the wage gap over this period.
Step 1: Calculate the rate of change in the wage gap
Change in wage gap = (Women's wages in 2013 - Women's wages in 2000) / (Men's wages in 2013 - Men's wages in 2000)
Change in wage gap = (0.68 - 0.68) / (1 - 1)
Change in wage gap = 0 / 0
Change in wage gap is undefined.
Step 2: Determine the slope of the line representing the narrowing wage gap
Since the change in the wage gap is undefined, we cannot directly calculate the rate of change in the wage gap. However, we can assume that the wage gap is narrowing linearly and has a constant rate of change.
Step 3: Use the slope to find the percentage of men's wages that women's wages will be at the beginning of 2020
Assuming that the wage gap continues to narrow linearly at a constant rate from 2000 to 2013, we can extend the trend to find the percentage of men's wages that women's wages will be at the beginning of 2020.
Since the wage gap is currently 68%, and we assume a linear decrease, the percentage change in the wage gap each year is (100% - 68%) / 13 years = 32% / 13 years ≈ 2.46% per year.
To find the percentage of men's wages that women's wages will be at the beginning of 2020 (t=20), we will calculate the cumulative decrease in the wage gap over the 20-year period.
Cumulative decrease in the wage gap = 2.46% × 20 years = 49.2%
Therefore, at the beginning of 2020, women's wages will be approximately 100% - 49.2% = 50.8% of men's wages.