As stated in the problem, the equation can be modeled by the equation:
The problem also defines the meaning of these variables:
y = bounce height in feet
x = release height in feet
Now, the question asks "If the ball is released from a height of 70 feet, what is the height the ball will achieve after the first bounce?"
From this question, we know that we want to solve for bounce height (y). We are also given the release height (x) of 70. Plug this value into the equation we were given at the start.
Now, just multiply the two values together:
Therefore, we now know that the ball achieved a bounce height of 24.5 ft on the first bounce!