Answer:
The difference in the cost of filling your tank between the two grades of gasoline is $2.28.
Step-by-step explanation:
Given : Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs $3.15 per gallon. There are three gallons left in your gas tank.
To find : What is the difference in the cost of filling your tank between the two grades of gasoline?
Solution :
The gas tank is of 15 gallons
There are three gallons left in the gas tank.
The tank has to be filled with 15 - 3 = 12 gallons
A lower grade of gasoline costs $2.96 per gallon.
So, the cost of filling the tank with the lower grade gasoline is
[tex]C_1=12\times 2.96[/tex]
[tex]C_1=\$35.52[/tex]
A upper grade of gasoline costs $3.15 per gallon.
So, the cost of filling the tank with the lower grade gasoline is
[tex]C_2=12\times 3.15[/tex]
[tex]C_2=\$37.8[/tex]
The difference in the cost of filling your tank between the two grades is
[tex]C= $37.80 - $35.52[/tex]
[tex]C= $2.28[/tex]
Therefore, the difference in the cost of filling your tank between the two grades of gasoline is $2.28.