Homework Help: algebra

Posted by lilman on Friday, September 21, 2012 at 11:49am.

the spreadsheet shows the monthly revenue and expenses for a new business.use the models to predictt the month in which revenue will equal expense.
month revenue expenses
jan 4000 22,000
feb 9000 24,000
mar 13,000 25,000
apr 16,000 27,000
may 21,000 30,000
Would someone please help and explain how to figure this out.

This is all I'v come up with and am not sure which one is the right answer or how you get to this point.

r=4100x-300
e=1900x-19900
oct.

4100x=300
1900X+19900
sept.

r=4100x+300
e=1900x+19900
aug.

r=4100x-300
e=1900+19900
sept.
If only someone could explain

algebra - Steve, Friday, September 21, 2012 at 12:12pm
do a least-squares fit to find the best lines for r and x:

r(m) = 4100m + 300
x(m) = 1900m + 19900
for month #m.

So, r=x when

4100m+300=1900m+19900
m = 98/11, or 9: September

r(9) = 37200
x(9) = 37000

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