Final answer:
Amelia makes a $29 profit from selling 36 cookies at the event, calculated using the given profit function f(x) = 1.25x - 16.
Step-by-step explanation:
To determine Amelia's profit from selling 36 cookies, we use the given profit function f(x) = 1.25x - 16. Here, x represents the number of cookies sold. To find the profit for 36 cookies, we substitute x with 36:
f(36) = 1.25(36) - 16
Calculating the multiplication first:
f(36) = 45 - 16
Finally, subtracting 16 from 45 gives us Amelia's profit:
f(36) = $29
Therefore, Amelia makes a $29 profit from selling 36 cookies at the event.