Question

a hockey goalie loses 2\frac{3}{5} rating points each time his team loses. if his team loses 8 games in a row, what number represents the change in the goalie’s rating points?\
ewline \bigcirc -20\frac{4}{5}\
ewline \bigcirc -4\frac{4}{5}\
ewline \bigcirc 16\frac{3}{5}\
ewline \bigcirc 20\frac{4}{5}

Explanation:

Step1: Convert mixed number to improper fraction

The rating loss per game is \( 2\frac{3}{5} \). Convert it to an improper fraction: \( 2\frac{3}{5}=\frac{2\times5 + 3}{5}=\frac{13}{5} \).

Step2: Calculate total change

The team loses 8 games, so the total change is \( - \frac{13}{5}\times8 \) (negative because it's a loss). \( -\frac{13\times8}{5}=-\frac{104}{5} \).

Step3: Convert back to mixed number

Convert \( -\frac{104}{5} \) to a mixed number: \( 104\div5 = 20 \) with a remainder of 4, so \( -\frac{104}{5}=-20\frac{4}{5} \).

Answer:

\( -20\frac{4}{5} \) (corresponding to the first option: \( -20\frac{4}{5} \))