Question

*free 30 points*

The function f(x) = −x2 + 24x − 80 models the hourly profit, in dollars, a shop makes for selling coffee, where x is the number of cups of coffee sold, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem?
Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answer 1

The vertex is the maximum y-value of the function. In terms of context, it is when the most amount of profit is obtained during the hour.

The x-intercepts are when the number when the amount of profit selling coffee is equal to 0.

Hope this helps!!