Question

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 1

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.

Explanation:

Given;

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

The rate of gas consumption
`= (35 \ miles)/(2 \ gallons) = 17.5 \ miles/gallon`

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

`V = 240 \ miles* (1)/((17.5 \ miles)/(gallon) )\\\\ V = 240 \ miles*(1*gallon)/(17.5 \ miles)\\\\ V = ((240 \ miles)/(17.5 \ miles) )gallon\\\\V = 13.71 \ gallons`

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