For this case we have that the relationship is direct.
Therefore, we have:
[tex] y = k * x
[/tex]
Where,
y: distance traveled in kilometers
x: number of liters of fuel
k: proportionality constant
We must look for the value of k. For this, we use the following data:
This car can travel 476 kilometers on 17 liters of fuel.
Substituting values we have:
[tex] 476 = k * 17
[/tex]
From here, we clear the value of k:
[tex] k = \frac{476}{17}
k = 28
[/tex]
Therefore, the relationship is:
[tex] y = 28x
[/tex]
For 1428 kilometers we have:
[tex] 1428 = 28x
[/tex]
Clearing the amount of fuel we have:
[tex] x = \frac{1428}{28}
x = 51
[/tex]
Answer:
51 liters of fuel are required for the vehicle to travel 1,428 kilometers
