A hybrid car averages 604 miles on a 12.1 galion tank of gas. Manuel is planning a 1230-mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.
Manuel needs approximately $\square$ gallons of gas for his vacation.
(Round to the nearest whole number as needed.)
Answer
Final Answer: Manuel needs approximately \( \boxed{25} \) gallons of gas for his vacation.
Step 1 ：First, we need to find out how many miles the car can travel per gallon of gas. This can be calculated by dividing the total miles the car can travel on a full tank by the number of gallons in the tank. In this case, the car can travel 604 miles on a 12.1 gallon tank. So, the miles per gallon is \( \frac{604}{12.1} \approx 49.92 \).
Step 2 ：Next, we can use this information to calculate how many gallons of gas Manuel will need for his 1230-mile vacation. This can be calculated by dividing the total miles Manuel plans to travel by the miles per gallon. So, the gallons needed is \( \frac{1230}{49.92} \approx 24.64 \).
Step 3 ：However, since we can't have a fraction of a gallon, we need to round this number to the nearest whole number. So, Manuel needs approximately 25 gallons of gas for his vacation.
Step 4 ：Final Answer: Manuel needs approximately \( \boxed{25} \) gallons of gas for his vacation.
