Final answer:
To find the maximum power of the quadratic equation (x) = -15x(x-8), determine the vertex, as it represents the maximum value. Use x = -b/2a to find the x-coordinate of the vertex and substitute it into the equation. With x = -15/2(-15), the maximum power is 480 W, corresponding to option (b). The correct answer is b) 480 W.
Step-by-step explanation:
The given equation is (x)=-15x(x-8). To find the maximum power possible, we need to determine the maximum value of the equation.
Since the equation is quadratic, we can find the vertex to get the maximum value.
The x-coordinate of the vertex can be found using the formula x = -b/2a, and the maximum power will be the value obtained when this x-coordinate is substituted into the equation.
By substituting x = -15/2(-15) into the equation, we find that the maximum power is 480 W.
Therefore, the correct answer is (b) 480 W.