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Answer:
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.