I need to provide a quadratic equation that models the number of expected tickets sold each day x. (x=1 is the day tickets go one sale).
tickets=-0.2x^2+12x+11
It looks like you already have provided one such quadratic equation. Is there a set of data upon which you based that equation? Were 11 tickets sold before they went on sale?
This is the first step. I will need to answer a series of questions such as a. Does the grapgh of this equation open up or down? How did you determine this? So I will need to graph it.
To provide a quadratic equation that models the number of expected tickets sold each day, you can use the equation:
tickets = -0.2x^2 + 12x + 11
In this equation, the variable "x" represents the number of days since tickets went on sale. The equation associates the value of "x" with the number of tickets sold.
The equation includes three terms:
1. The first term, -0.2x^2, represents the quadratic term. This term indicates that the number of tickets sold each day decreases as "x" increases. The coefficient -0.2 determines the rate of decrease; a negative coefficient indicates a downward-opening parabola.
2. The second term, 12x, represents the linear term. This term indicates that the number of tickets sold each day increases linearly as "x" increases. The coefficient 12 determines the rate of increase; a positive coefficient indicates an upward slope.
3. The third term, 11, represents the constant term. This term adds a fixed number of tickets to the sales each day, regardless of the value of "x".
By substituting different values for "x" into the equation, you can calculate the expected number of tickets sold each day.