Question 270024: you are about to start working for a newspaper publisher. You are offered two routes to deliver papers. Route 1 has 36 customers and has about 3 new subscriptions a month. Route 2 is a newer route and has only 20 customers but is gaining 5 new subscriptions a month.
-You plan on delivereing newspapers for at least a year. The more newspapers you deliver, the more money you make. Which route would you choose to deliver newspapers?
-Which route will have more customers after 6 months? 12 months?
-At what point will the two routes have the same number of customers?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! you are about to start working for a newspaper publisher. You are offered two routes to deliver papers.
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Route 1 has 36 customers and has about 3 new subscriptions a month.
N1(x) = 36 + 3x where "x" is # of months.
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Route 2 is a newer route and has only 20 customers but is gaining 5 new subscriptions a month.
N2(x) = 20 + 5x
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-You plan on delivereing newspapers for at least a year. The more newspapers you deliver, the more money you make. Which route would you choose to deliver newspapers?
Let "x" = 12 months:
N1(12) = 36 + 36 = 72 subscriptions
N2(12) = 20 + 60 = 90 subsciptions
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Choose Route 2
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-Which route will have more customers after 6 months?
Compare N1(6) and N2(6)
12 months?
Compare N1(12) and N2(12)
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-At what point will the two routes have the same number of customers?
Solve 36 + 3x = 20 + 5x
2x = 16
x = 8 months.
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Cheers,
Stan H.
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