Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled, r (in kilometre). (a) If the distance travelled increase, what can we say about the amount of fuel needed? (b) If the relationship is given by y = 0.05x and r increase by 50 km, how much does y increase?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Topic: Mathematical Modelling 

Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this
case, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled,
æ (in kilometre).
(a) If the distance travelled increase, what can we say about the amount of fuel needed?
(b) If the relationship is given by y = 0.05x and x increase by 50 km, how much does y
increase?
Transcribed Image Text:Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case, the amount of fuel, y, (in litre) needed is directly proportional to the distance travelled, æ (in kilometre). (a) If the distance travelled increase, what can we say about the amount of fuel needed? (b) If the relationship is given by y = 0.05x and x increase by 50 km, how much does y increase?
Expert Solution
Step 1 Part(a)

As given in the question, The amount of fuel is directly proportional to the distance Travelled.

y  is proportional to x

If the distance travelled increases , the amount of fuel needed also Increases. (By the same factor)

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