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Ghella [55]
3 years ago
13

the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers

on 17 liters of fuel. how many liters of fuel are required for the vehicle to travel 1,428 kilometers
Mathematics
1 answer:
notka56 [123]3 years ago
3 0

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

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:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

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