Question

a skydiver falls at a rate of $8\frac{4}{5}$ yards per second. after 7 seconds, how far has the skydiver fallen?

Explanation:

Step1: Convert mixed number to improper fraction

The rate is \( 8\frac{4}{5} \) yards per second. Convert \( 8\frac{4}{5} \) to an improper fraction: \( 8\frac{4}{5}=\frac{8\times5 + 4}{5}=\frac{44}{5} \).

Step2: Multiply rate by time

To find the distance fallen, multiply the rate (\( \frac{44}{5} \) yards per second) by the time (7 seconds). So, \( \frac{44}{5}\times7=\frac{308}{5} \).

Step3: Convert back to mixed number (optional)

Convert \( \frac{308}{5} \) to a mixed number: \( \frac{308}{5}=61\frac{3}{5} \).

Answer:

\( 61\frac{3}{5} \) yards (or \( \frac{308}{5} \) yards)