5. The marketing article claims that the average cost per mile for renting the f
ID: 3196434 • Letter: 5
Question
5. The marketing article claims that the average cost per mile for renting the full-sized car is $0.62 per mile. Is that claim always true? Never? Sometimes? Explain. Next, the article claims that the deal becomes even better if the customer pays an additional $10 per day fee for unlimited miles, rather than being limited to the 300 mile rnas. Factoring in that Sio per day charge, plus 15% in extra fees, the total cost for the 3-day weekend rental in a full-sized car is S103.47. Add the $0.39 per mile you still pay in spite of not using your own car, and we can find a formula with input the number of miles (m) and output the total cost of renting (C) 6. Write the formula for the total cost of renting a full-sized car when the unlimited mileage charge is added. dollars. 7 At S0.63 per mile, the cost of driving your own car for m miles remains Full-size Driving Distance Full-size Driving rental: own car: 8. Find all the total costs and write them in the table driven rental: (mi) Total cost Total cost cost per cost per own car: Average Average using the table feature on a graphing calculator. milemile 9. Is there a number of miles for which the total costs for renting and driving your own car are the same? I so, find the number of miles. You'll have to experiment with some settings on your calculator 0 $103.47 $0.00 N/A 100 200 300 400 500 600 700 N/A 10. Based on your answer to Question 9, explain when it would be cheaper to drive your own car, and when it would be cheaper to rent a full-sized car II. Calculate the average costs per mile and put them in the table. The "per mile" is still a hint on how to doExplanation / Answer
5. The statement that the average cost per mile for renting a full size car is $0.62 cannot be true on all cases, because that depends upon the car we choose, that mileage it would offer, the base rent it is offered at, the ditance we travel etc. So the average cost per mile depends on these factors and as any of these changes the average changes thus the statement is not always true. But since its an average amount after a particular point on these scale how much ever these parameters changes the change in overall average cost per mile is almost neglible. So thus we can conclude that the above statement is not always true but sometimes it is.
6. Given: $10 per day additional for unlimited miles.
$10/day + 15% extra fee, the total cost for 3 days is $103.47.
given total cost of renting C= $103.47 which is $10 per day for 3days plus 15% extra charge+$0.39 per mile
ie., 3*10*1.15+0.39m=C => m= (C-34.5)/0.39 = (103.47-34.5)/0.39=> m=163.81 miles
In this case we had to find the formula with input as miles travelled and output as total cost of renting.
C=1.15*D*10+X*m
Where m= miles travelled
X= cost per mile
D=no.of days
7. From the above m= 163.81 miles,
At $0.63 per mile the cost of rentile a full sized car = 0.63*163.81= $103.20
8 and 11.
Distance
driven (mi)
Full size
car rental
total cost
Driving own
car
Full size rental
Average cost
per mile
Driving own car
Average cost
per mile
9. let the miles for which the cost of renting a car and driving own car is same be 'm' miles.
which means
1.15*D*10+0.39*m = 0.63*m => 1.15*D*10=0.63m-0.39m=0.24m
=> 11.5D=0.24m =>11.5*3=0.24m => m=34.5/0.24 => m=143.75
Thus for 143.75 miles the total cost of renting a car and driving own car is same
10. Based on the above calculations, it is cheaper to rent a car when the distance to be travelled is more than 143.75 miles and when the distance is less than 143.75 miles its better to drive your own car.
Distance
driven (mi)
Full size
car rental
total cost
Driving own
car
Full size rental
Average cost
per mile
Driving own car
Average cost
per mile
0 $103.47 0 N/A N/A 100 0.39*100+103.47=142.47 100*0.63=$63 1.4247 0.63 200 0.39*200+103.47=181.47 126 0.907 0.63 300 0.39*300+103.47=220.47 189 0.735 0.63 400 259.47 252 0.649 0.63 500 298.47 315 0.57 0.63 600 337.47 378 0.562 0.63 700 378.47 441 0.541 0.63Related Questions
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