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Answer :
Final answer:
To find the cost to fill the gas tank, first calculate the total volume of the tank using the given information. Then, divide the total volume by the conversion factor to find the number of gallons needed. Finally, multiply the number of gallons by the cost per gallon to calculate the total cost.
Explanation:
To find the cost to fill the gas tank, we first need to determine the volume of the tank. Let x represent the total volume of the tank.
Since the tank is 20% full, we know that 20% of x is equal to the given volume of 288.75. This can be expressed mathematically as: 20% * x = 288.75.
Now we can solve for x by dividing both sides of the equation by 20% (or 0.2), which gives us x = 288.75 / 0.2 = 1443.75.
The cost to fill the tank can be calculated by dividing the total volume of the tank by the conversion factor of 231 cubic inches per gallon (1 gal = 231 in^3).
So, the cost to fill the tank is (1443.75 / 231) * $3.00 = $19.74.
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