The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snowboarder starts moving down the hill. after how many seconds is the snowboarder 100 ft from the bottom of the hill?

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

Final position of the snowboarder is

Now, plugging in 100 for 'd' and solving for 'x', we get:

Adding -1100 both sides, we get:

Dividing both sides by -4, we get:

Taking square root and neglecting the negative root as time can't be negative. So,

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.