Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?

Question

Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.

Answer 1

Let's first convert their scores into decimal form for comparison.

1. Vanessa's Score:

   • Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction. This can be written as: \[ -3 + \frac{5}{8} = -3 + 0.625 = -2.375 \]

2. Zack's Score:

   • Zack has a score of Negative 3 and two-thirds. This can be written as: \[ -3 + \frac{2}{3} \approx -3 + 0.6667 \approx -2.3333 \]

Now, we compare their scores:

• Vanessa: -2.375
• Zack: -2.3333

Since in this game, the player with the lower score wins, we need to determine who has the lower score.

We see that: -2.375 (Vanessa) is greater than -2.3333 (Zack).

Therefore, Zack has the lower score and wins the game.

The correct statement is: "Comparing the decimal equivalents of their scores shows that Zack won because -3.625 is less than -3.6667." (Note: The decimals mentioned in the original options seem inconsistent with the values derived from Vanessa's and Zack's scores. The closest interpretation would indicate Zack's win based on their actual computed values.)