if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the same rate ? round to the nearest tenth

if a car travels 3703 miles on 52 liters of gas how many liters ofgaswill take to go 722 milesif the car travels at the same rate round to the nearest tenth class=

Respuesta :

Answer:

101.4 liters.  

Step-by-step explanation:

First of all we will find mileage of car.  

[tex]\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}[/tex]

[tex]\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}[/tex]

[tex]\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}[/tex]

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

[tex]\text{Amount of gas needed}=\frac{722}{7.12}[/tex]

[tex]\text{Amount of gas needed}=101.388[/tex]

Therefore, it will take 101.4 liters of gas to travel 722 miles.