Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many years you should drive your present car before you buy a new one? If y is this number of years, then Chamberlain's formula reads y = GMC (G-M)DP where G is the new car's gas mileage, M is your present car's gas mileage, C is the cost in dollars of the new car, D is the number of miles you drive in a year, and P is the dollar price of gasoline per gallon. Suppose the new car's gas mileage is 36 mi/gal, the old car's gas mileage is 16 mi/gal, the price of the new car is $23,000, you drive 10,000 mi/year, and the cost of gasoline is $4.00/gal. How many years should your old car have been driven to justify buying the new one?
Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many years you should drive your present car before you buy a new one? If y is this number of years, then Chamberlain's formula reads y = GMC (G-M)DP where G is the new car's gas mileage, M is your present car's gas mileage, C is the cost in dollars of the new car, D is the number of miles you drive in a year, and P is the dollar price of gasoline per gallon. Suppose the new car's gas mileage is 36 mi/gal, the old car's gas mileage is 16 mi/gal, the price of the new car is $23,000, you drive 10,000 mi/year, and the cost of gasoline is $4.00/gal. How many years should your old car have been driven to justify buying the new one?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many years you should drive your present
car before you buy a new one? If y is this number of years, then Chamberlain's formula reads
GMC
(G - M)DP
where G is the new car's gas mileage, M is your present car's gas mileage, C is the cost in dollars of the new car, D is the number of
miles you drive in a year, and P is the dollar price of gasoline per gallon.
y =
Suppose the new car's gas mileage is 36 mi/gal, the old car's gas mileage is 16 mi/gal, the price of the new car is $23,000, you drive
10,000 mi/year, and the cost of gasoline is $4.00/gal. How many years should your old car have been driven to justify buying the new
one?
yr
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