A stunt pilot is testing a new plane. The equation that models his height over time is f(x)=15x^2 -195x +950, where x is his the time in seconds and (fx) is his height in metres. Determine when the pilot is below 500 metres.
Do i sub in 500 metres for f(x)?
Yes, then solve for x.
That will tell you when the height is at 500m. There should be two values for x. Since the parabola opens up, f(x) will be less than 500 between those two values.
Yes, to determine when the pilot is below 500 meters, you will substitute 500 for f(x) in the equation. Then you can solve for x.
The equation given is f(x) = 15x^2 - 195x + 950.
To find when the pilot is below 500 meters, we set f(x) to 500:
500 = 15x^2 - 195x + 950.
Rearranging this equation to put it in standard quadratic form, we get:
15x^2 - 195x + 450 = 0.
Now you can solve this quadratic equation to find the values of x when the pilot is below 500 meters. You can solve it by factoring, completing the square, or using the quadratic formula.