Our car has a 15 gallon gas tank. A lower grade or gasoline costs $2.96 per gallon. The premium grade gasoline costs $3.15 per gallon. There are three gallons left in your gas tank. What is the difference in the cost of filling your tank between the two grades of gasoline?

To fill the entire 15 gallon gas tank, we would need 12 more gallons of gasoline.

For lower grade gasoline:
12 gallons * $2.96/gallon = $35.52

For premium grade gasoline:
12 gallons * $3.15/gallon = $37.80

The difference in cost between filling the tank with lower grade and premium grade gasoline is:
$37.80 - $35.52 = $2.28.

Therefore, the cost of filling the tank with premium grade gasoline is $2.28 more expensive than filling it with lower grade gasoline.