Given the equation: -0.2xsqrd+12x+11
Use the quadratic equation to determine the last day that tickets will be sold.
x=1 is the day tickets go on sale.
To determine the last day that tickets will be sold, we need to find the value of x when the equation equals zero. This implies that there are no more tickets being sold.
The quadratic equation is given by: ax^2 + bx + c = 0.
In our case, the equation is: -0.2x^2 + 12x + 11 = 0.
To apply the quadratic equation, we can use the formula:
x = (-b ± √(b^2 - 4ac)) / 2a.
In our equation, a = -0.2, b = 12, and c = 11.
Substituting these values into the formula, we get:
x = (-12 ± √(12^2 - 4(-0.2)(11))) / (2 * -0.2).
Simplifying further, we have:
x = (-12 ± √(144 + 8.8)) / (-0.4).
x = (-12 ± √(152.8)) / (-0.4).
Calculating the square root, we get:
x = (-12 ± 12.36) / (-0.4).
Now, we have two possible solutions:
1. x = (-12 + 12.36) / (-0.4) ≈ -0.9.
2. x = (-12 - 12.36) / (-0.4) ≈ 61.4.
Since x represents the day, it cannot be negative, so we discard the first solution.
Therefore, the last day tickets will be sold is approximately on day 61.