To determine how far the firework will travel before it reaches the ground, we need to solve the quadratic equation:
\[ 0 = -x^2 + 15x \]
We can start by factoring the equation. First, we can factor out \(x\) from the right side:
\[ 0 = x(-x + 15) \]
Setting each factor equal to zero gives us the possible solutions:
- \(x = 0\)
- \(-x + 15 = 0 \Rightarrow x = 15\)
Thus, the firework will reach the ground at the points \(x = 0\) and \(x = 15\). The significant distance we are interested in (the non-zero distance where the firework lands) is:
\[ x = 15 \text{ feet} \]
Therefore, the answer to how far the firework will travel before it reaches the ground is:
B. 15 feet