The maximum rpm can be found by calculating the vertex of the parabola represented by the equation y = -2x^2 + 8x.
The x-coordinate of the vertex of a parabola in the form y = ax^2 + bx + c is given by x = -b/(2a). In this case, a = -2 and b = 8.
x = -8 / (2 * -2)
x = -8 / -4
x = 2
To find the corresponding y-coordinate (rpm), we substitute x = 2 back into the equation:
y = -2(2)^2 + 8(2)
y = -2(4) + 16
y = -8 + 16
y = 8
Therefore, the maximum rpm for the car is 8,000 rpm.
A car magazine wants to determine the maximum rpm of a car. The following graph shows the equation y=−2x2+8x. The equation represents the function for the rpm of the car in thousands, where the rpm is y and the number of seconds is x
.
The maximum rpm for the car is
(1 point)
Responses
6,000 rpm
6,000 rpm
8,000 rpm
8,000 rpm
10,000 rpm
1 answer