Final answer:
The car initially traveled at a speed of 120 mph. If its speed increased by 12 mph to 132 mph, it would travel 528 miles in 4 hours. The provided options do not include the correct calculation result.
Step-by-step explanation:
To solve the problem, let's first calculate the initial speed of the car. The car traveled 480 miles in 4 hours, so its speed can be calculated using the formula:
Speed = Distance ∕ Time
Substituting the given values:
Speed = 480 miles ∕ 4 hours = 120 miles per hour (mph)
If the car's speed was 12 mph faster, the new speed would be:
Speed = 120 mph + 12 mph = 132 mph
Now, to find out how far the car would travel in 4 hours at this increased speed, we multiply the new speed by the time:
Distance = Speed x Time
Distance = 132 mph x 4 hours = 528 miles
The correct option that matches our calculation does not appear in the given choices, so there appears to be an error. The expected distance, given the car's increased speed, should be 528 miles based on the calculations.