Answered

The gas tank in Enrique's car has 15 gallons of gas. Enrique was able to determine that he can travel 35 miles and only use 2 gallons of gas. At this constant rate, he predicts that he can drive 240 more miles before he runs out of gas. Is he correct? Explain.

Answer :

onyebuchinnaji

Answer:

Yes, he is correct, 240 miles will require a gas volume of 13.71 gallons which is less than 15 gallons in  Enrique's car.

Step-by-step explanation:

Given;

total volume of gas in Enrique's car, V = 15 gallons

The rate of gas consumption [tex]= \frac{35 \ miles}{2 \ gallons} = 17.5 \ miles/gallon[/tex]

To drive 240 miles, he would need the following volume of gas;

[tex]V = 240 \ miles* \frac{1}{\frac{17.5 \ miles}{gallon} }\\\\ V = 240 \ miles*\frac{1*gallon}{17.5 \ miles}\\\\ V = (\frac{240 \ miles}{17.5 \ miles} )gallon\\\\V = 13.71 \ gallons[/tex]

The volume of gas needed to drive 240 miles is less than the total volume of gas in Enrique's car.

Thus, he is correct

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