Question

Can you help me with this

Answer 1

35 million

Explanation:

The peak of sales in this problem is the vertex of the parabola that can be graphed from the given equation.

The vertex of a parabola is defined as:

`\left(-(b)/(2a), (b^2 - 4ac)/(4a) \right)`

when a, b, and c correspond to the unfactored quadratic form:
`ax^2 + bx + c`.

So, we can use the given equation:

`S = -4x^2 + 24x - 1`

to assign the following variables:

`a = -4`,
`b = 24`,
`c=-1`

Using these variables, we can find the vertex of the parabola by plugging them into the above definition.

`\left(-(b)/(2a), (b^2 - 4ac)/(4a) \right)`

`\left(-(24)/(2(-4)), (24^2 - 4(-4)(-1))/(4(-4)) \right)`

`\left((24)/(8), (576 - 16)/(-16)) \right)`

`\left(3, 35 \right)`

So, the peak sales for the game are 35 million.