Question

1. a ball is dropped from the top of a building. the table shows its height in feet above ground at the top of each bounce. what is the height of the ball at the top of bounce 6?

\

$$\begin{tabular}{|c|c|} \\hline bounce & height \\\\ \\hline 1 & 250 \\\\ \\hline 2 & 200 \\\\ \\hline 3 & 160 \\\\ \\hline 4 & 128 \\\\ \\hline 5 & 102.4 \\\\ \\hline \\end{tabular}$$

Explanation:

Identify the common ratio

$$ r = \frac{200}{250} = 0.8 $$

Verify the geometric pattern

$$
LATEXBLOCK0
$$

Calculate the height at bounce 6

$$ h_6 = 102.4 \times 0.8 = 81.92 $$

Answer:

\(81.92\text{ feet}\)