Part 1: Calculating the gallons of gasoline needed for a 1265-mile trip

To find out how many gallons of gasoline you will use, we can use the formula:

$\text{Gallons of gasoline} = \frac{\text{Total miles}}{\text{Miles per gallon}}$

Substituting the given values:

$\text{Gallons of gasoline} = \frac{1265}{22} \approx 57.5 \text{ gallons}$

So, you should expect to use about 57.5 gallons of gasoline.

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Part 2: Gas consumption of a car with half the mileage

If a car averages only 11 miles per gallon, it would require more gasoline for the same trip. The formula is the same:

$\text{Gallons of gasoline} = \frac{1265}{11} \approx 115 \text{ gallons}$

Now, let's compare the gasoline usage:

• Your original car (22 miles per gallon) uses about 57.5 gallons.
• A car with half the mileage (11 miles per gallon) uses about 115 gallons.

Does it require twice as much gasoline?

$115 \div 57.5 = 2$

Yes, it does. A car that has half the gas mileage would indeed require twice as much gasoline for the same trip.

Conclusion:

• You should expect to use about 57.5 gallons of gasoline for your 1265-mile trip.
• A car with half the gas mileage would require twice as much gasoline.

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Do you need any further details or clarifications?

Here are 5 related questions for further practice:

1. How much gasoline would you need for a 500-mile trip with a car that averages 30 miles per gallon?
2. If a car averages 18 miles per gallon, how much gasoline would you need for a 1000-mile trip?
3. If gasoline costs $3.50 per gallon, how much would your trip cost for a 1265-mile journey with 22 miles per gallon?
4. How many miles could you travel on 50 gallons of gasoline if your car averages 25 miles per gallon?
5. What is the effect of better fuel efficiency on the overall cost of long-distance trips?

Tip: Improving fuel efficiency even by a small amount can significantly reduce the cost of long trips, especially over many miles.