SOLUTION: Based on data from 1997 through 2010, in Canada, women's earnings as a percentage of men's can be approximated by the linear equation y = 0.42x + 68.8 where x = the number of yea

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Based on data from 1997 through 2010, in Canada, women's earnings as a percentage of men's can be approximated by the linear equation y = 0.42x + 68.8 where x = the number of yea      Log On


   



Question 1131660: Based on data from 1997 through 2010, in Canada, women's earnings as a percentage of men's can be approximated by the linear equation
y = 0.42x + 68.8
where x = the number of years since 1997
(x = 0
for 1997) and y = the percentage. Based on this equation, find the approximate percentage of women's earnings for the following years.
(a) 2010

%
(b) 2015

%
(c) 2020

%
(d) When will the percentage reach 85%? (Round your answer to the nearest year.)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+0.42x+%2B+68.8
where x = the number of years since 1997
(x+=+0...for 1997) and y = the percentage.
Based on this equation, find the approximate percentage of women's earnings for the following years.
(a)
2010 =>2010-1997=13=> x=13
y+=+0.42%2A13+%2B+68.8
y+=+74.26%

(b)
2015+=>x=18
y+=+0.42%2A18+%2B+68.8
y+=+76.36%

(c)
+2020 =>x=23
y+=+0.42%2A23+%2B+68.8
y+=+78.46%

(d)
When will the percentage reach 85%? (Round your answer to the nearest year.)
85=+0.42x+%2B+68.8
85-68.8=+0.42x+
16.2=+0.42x+
x=16.2%2F+0.42+
x=38.57142857142857+
x=39+
in year 2036