Final answer:
The compound inequality for the fuel efficiency is 320 <= d <= 448, indicating the car can travel between 320 and 448 miles on one 16-gallon tank of gasoline.
Step-by-step explanation:
The compound inequality representing the fuel efficiency of a car that gets between 20 and 28 miles per gallon (mpg) with a 16-gallon tank would be 320 ≤ d ≤ 448, where d represents the potential distance (in miles) the car could travel on one tank of gasoline.
The inequality is derived by multiplying the number of gallons in the tank by the lower and upper limits of the car's fuel efficiency, which gives us:
- 20 mpg × 16 gallons = 320 miles
- 28 mpg × 16 gallons = 448 miles
Therefore, on one tank of gasoline, the car can travel anywhere between 320 and 448 miles, assuming the car's fuel efficiency varies within the given range.