See this solution/explanation (answer is '7 meters'):
1. According to the condition 'y' means the height, and 'x' - the length from the start of the lift hill.
2. The phrase 'height of 343 meters' means y=343.
3. From the another side y=x³. If to substitute 343 instead of 'y': 343=x³, - it is possible to find the value of 'x'.
x=<u>7 [m]</u> - how far from the start of the lift hill...
Let x be the price after the discunt on the make and model of the board but before the member discount. Then,
(100 - 5)/100 x = 315.32
0.95x = 315.32
x = 315.32/0.95 = $331.92
Let y be the original price of the board, then
(100 - 15)/100 y = 331.92
0.85y = 331.92
y = 331.92/0.85 = 390.49
Therefore, the original price of the board is $390.49