SOLUTION: Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the so

Question 37599: Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25.00/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
Answer by mszlmb(115) (Show Source): You can put this solution on YOUR website!
Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25.00/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
y=(.75x-.1x)-25w
that was ez (phew!) ok so y=profit in $'s x=#of cans w=weeks
y is isolated cuz that's what we're trying 2 figure out.
the total can profit is 75 cents per # of cans (profit) - 10 cents per can (price)
so is our equation so; o, and the -25w is the deficient of $25 every week.
in 1 week (W=1), when 92 cans of soda are sold (X=92) the equation yields:
y=.75(92)-.1(92)-25(1)
=69-9.2-25
=59.8-25
=$34.8's
ask in IM if u need help
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