To find out how much it will cost Mary to fill up her SUV, we first need to determine how much gas she needs:
Total capacity of the SUV = 20 gallons
Gas currently in the SUV = 5.7 gallons
Gas needed to fill up = 20 gallons - 5.7 gallons = 14.3 gallons
Next, we will calculate the cost to fill up the remaining 14.3 gallons at the price of $3.20 per gallon:
Cost = gallons needed × price per gallon
Cost = 14.3 gallons × $3.20/gallon = $45.76
Therefore, it will cost her $45.76 to fill up her SUV.