SOLUTION: The business opened with a debt of $2300. After 5 years, it accumulated profit of $3300. Find the profit as a function of time , knowing the profit function is linear

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Question 403380: The business opened with a debt of $2300. After 5 years, it accumulated profit of $3300. Find the profit as a function of time , knowing the profit function is linear
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The debt can be thought of as a negative profit
Plot profit,p on the vertical axis and t, years
on the horizontal axis
%28p+-+%28-2300%29%29+%2F+%28t+-+0%29+=+%283300+-+%28-2300%29%29+%2F+%285+-+0%29
%28p+%2B+2300%29+%2F+t+=+5600+%2F+5
5%2A%28p+%2B+2300%29+=+5600t
5p+%2B+11500+=+5600t
5p+=+5600t+-+11500
p%28t%29+=+1120t+-+2300
check answer:
After 5 years:
p%285%29+=+1120%2A5+-+2300
p%285%29+=+5600+-+2300
p%285%29+=+3300
OK