To solve this problem, let's break it down into a series of steps.
1. Determine the total distance of the trip:
The total distance for the trip is 200 miles.
2. Distance already traveled by the Blakely family:
They have already traveled 50 miles.
3. Calculate the remaining distance to be traveled:
To find the remaining distance, we subtract the distance already traveled from the total distance.
[tex]\[
\text{Remaining distance} = \text{Total distance} - \text{Distance traveled}
\][/tex]
[tex]\[
\text{Remaining distance} = 200 \text{ miles} - 50 \text{ miles} = 150 \text{ miles}
\][/tex]
4. Determine the car's fuel efficiency:
The car travels 30 miles per gallon (mpg).
5. Calculate the amount of gasoline needed for the remainder of the trip:
To find out how many gallons of gasoline are needed, we divide the remaining distance by the car's fuel efficiency:
[tex]\[
g = \frac{\text{Remaining distance}}{\text{Fuel efficiency}}
\][/tex]
[tex]\[
g = \frac{150 \text{ miles}}{30 \text{ miles per gallon}} = 5 \text{ gallons}
\][/tex]
Hence, the car will use 5 gallons of gasoline for the remainder of the trip.
The correct answer is:
[tex]\[ 5 \text{ gallons} \][/tex]
