$2000 per day plus $1.75 per mile and that Air France rents a lear jet with a pilot for $1500 per day plus $2.00 a mile find the following
a. write a formula for cost as a function of distance traveled for each company
b. if cost were the only issue, when would you rent from Air France? Why or why not?
please help and how would i graph the functions in question a. ? thanks
a. write a formula for cost as a function of distance traveled for each company
b. if cost were the only issue, when would you rent from Air France? Why or why not?
please help and how would i graph the functions in question a. ? thanks
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a. Swissair: 2000 + 1.75d
Air France: 1500 + 2d
b. You would rent from Air France when it is cheaper; that is, when
1500 + 2d < 2000 + 1.75d
.25 d < 500
d < 2000
So you would rent from Air France when you needed to fly less than 2000 miles, and from Swissair when you needed to fly more than 2000. If a trip is exactly 2000 miles, then you are indifferent between the two companies; they both cost $5,500. (Found by plugging $2,000 into either function.)
The graphs will just be intersecting straight lines. Air France will have points at (0,1500) and (2000,5500) and Swissair will have points at (0,2000) and (2000,5500).
Air France: 1500 + 2d
b. You would rent from Air France when it is cheaper; that is, when
1500 + 2d < 2000 + 1.75d
.25 d < 500
d < 2000
So you would rent from Air France when you needed to fly less than 2000 miles, and from Swissair when you needed to fly more than 2000. If a trip is exactly 2000 miles, then you are indifferent between the two companies; they both cost $5,500. (Found by plugging $2,000 into either function.)
The graphs will just be intersecting straight lines. Air France will have points at (0,1500) and (2000,5500) and Swissair will have points at (0,2000) and (2000,5500).