SOLUTION: Census Data from 2003 for various age groups show that for each R100 increase in the median weekly income
for men, the median weekly income of women increases by R61.90. Also, for
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Question 1091946: Census Data from 2003 for various age groups show that for each R100 increase in the median weekly income
for men, the median weekly income of women increases by R61.90. Also, for workers of ages 25 to 54 the
median weekly income for men was R676 and for women was R527. Let M represent the median weekly income for men and W the median weekly income for women, and write the equation of the line that gives W as a linear function of M.
[1] W = 0.381M + 269 444
[2] W = 2.625M − 1247 278
[3] W = 0.619M + 108 556
[4] W = 1.6166M − 565 084
[5] None of the above.
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If I plot on the vertical axis and
on the horizintal axis,
I am given the point ( 676,527 )
The slope is [ change in W ] / [ change in M ]
Use the general point-slope formula
--------------------------
The answer is (3)
check:
does the line go through ( 676,527 )
OK
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
The slope of the line has to be 61.9/100 = 0.619; so the only possible correct answer is [3], W = 0.619M + 108.556. We just need to see if that equation is satisfied by the given point.
Yes, [3] is the right equation.
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