SOLUTION: Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost for running the train is $1200. Write an equation that relates th

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Question 37602: Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost for running the train is $1200. Write an equation that relates the daily profit, P, in dollars to the number of passengers each day. Then use the equation to find the daily profit when the train has 920 passengers a day.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(x passengers/day)*(1.75/passenger) - $1200 expenses/day = Profit/day
1.75x - 1200 = P
+graph%28+800%2C+300%2C+-100%2C+1200%2C+-2000%2C+2000%2C+1.75%2Ax+-+1200%29+
Just from looking at the graph, you can see that when x = 0 (no passengers)
P = -1200 per day, the fixed cost. When P = 0 (no profit), the graph shows
about 700 passengers.
1.75x - 1200 = 0
1.75x = 1200
x = 686 approximately
If there are 920 passengers,
1.75 * 920 -1200 = P
1610 -1200 = P
410 = P
$410 daily profit
That looks right from the graph