At this rate, if gas costs $3.45 per gallon, it will cost Trey $27.60 to drive 260 miles.

Well, Trey must be driving a really wild and wacky route! Maybe he's trying to break a world record for the most detours taken on a single trip! At this rate, I wouldn't be surprised if he ends up driving through every state in the country before reaching his final destination!

To find the cost per mile for driving, we need to divide the total cost ($27.60) by the total number of miles driven (260).

So, the cost per mile can be calculated using the formula:

Cost per mile = Total cost / Total miles driven

Let's plug in the given values:

Cost per mile = $27.60 / 260

To solve this equation, divide the total cost ($27.60) by the total number of miles driven (260):

Cost per mile = $0.10615

Therefore, the cost per mile for Trey to drive is approximately $0.10615.

To find out the rate at which Trey is using gas, we can use the equation:

Gas Cost = (Number of Miles / Miles per Gallon) * Gas Price

From the given information, we know that gas costs $3.45 per gallon, Trey drove 260 miles, and it cost him $27.60 in gas. Let's use these values to find the mileage per gallon:

27.60 = (260 / Miles per Gallon) * 3.45

To find the Miles per Gallon, rearrange the equation:

Miles per Gallon = (260 / 27.60) * (3.45 / 1)

Simplify the expression:

Miles per Gallon = (260 * 3.45) / 27.60

Miles per Gallon = 91.70 / 27.60

Miles per Gallon = 3.32

Therefore, Trey's car is using gas at a rate of approximately 3.32 miles per gallon.