Problema Solution

You provide a manager with a quadratic equation that models the expected number of ticet sales for each day x. (x=1 is the day tickets go on sale)

Tickets = -0.2x^2 + 12x + 11

Question:

What is the point of the vertex? How many solutions are there to the above equation? How do you know? What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does it not make sense?

Answer provided by our tutors

The point of the vertex is (30, 191).

I think this equation has 2 solutions.

The first, using root formula of  quadratic function. You can refer at:https://en.wikipedia.org/wiki/Quadratic_function

The second, you can use graph . Cut points between graph of function

 f(x)= and x-axis is the root of equation

With method using graph, we can’t make sense.Because if you use this method, you can’t find the root of equation exactly .