Formulation : Farther we travel, the more petrol we require, that is, the amount of petrol we need varies directly with the distance we travel.
Petrol needed for travelling 416km = 52litres
Petrol needed for travelling 96km = ?
Mathematical Description :
Let x = distance traveled
y = need of Petrol and y varies directly with x
So, y = Kx, where K is a constant.
can travel 416kilometres with 52litres of petrol.
So, y = 52, x = 416
Equation (1) describes the relationship between the petrol needed and distance travelled.
Step 2 : We want to find the petrol we need to travel 96kilometres. So we have to find the value of y when
x = 96. Putting x = 96 in (1), we have = 96/8 = 12
Step 3 . Interpretation:
Since y = 12, we need 12litres of petrol to travel 96kilometres.
Step 4. Validation of the result :
This result is valid only if all the conditions remain same i.e. mileage of car track on which car is running, gradient of the track (road), etc.
