Final answer:
The function to determine how much money John has after x rides is f(x) = -5.50x + 89, where x represents the number of rides.
Step-by-step explanation:
To determine how much money John has left after x rides at the Nashville Shores Amusement Park, we first calculate the initial amount of money he has after paying for the park entry and food. He starts with $157, spends $43 on entry, and $25 on food, leaving him with $157 - $43 - $25 = $89. Now, since rides cost $5.50 per ride, the amount of money he has left after x rides is given by subtracting $5.50 times the number of rides (x) from his remaining money ($89). The function for this calculation is f(x) = -5.50x + 89.