Final answer:
Austin's gas tank can hold approximately 15.43 gallons.
Step-by-step explanation:
To find out how many gallons Austin's tank can hold, we can set up a proportion using the given information. If 12 gallons fills 7/9 of the tank, then let's assume x represents the number of gallons the tank can hold. The proportion would look like this:
12 / x = 7/9
To solve for x, we can cross-multiply and solve the resulting equation:
12 * 9 = 7 * x
108 = 7 * x
Divide both sides of the equation by 7 to isolate x:
x = 108 / 7
x ≈ 15.43
Therefore, Austin's gas tank can hold approximately 15.43 gallons.