Bailey and Jade both play basketball. The table and graph show the total number of games that each of their teams won over six weeks.

Question

A coordinate plane labeled Jade's Team. The x-axis is labeled Weeks and the y-axis is labeled Wins. Points plotted are (1, 0), (2, 1), (3, 3), (4, 5), (5, 6), and (6, 7).

Bailey’s Team
Number of weeks
Wins
1
2
2
2
3
3
4
4
5
4
6
6

After which week had the two teams won the same number of games?
week 1
week 2
week 3
week 5

Answer 1

To determine after which week Bailey's team and Jade's team had won the same number of games, we can analyze the data provided for both teams.

For Jade's Team, the points plotted are:

• Week 1: 0 wins
• Week 2: 1 win
• Week 3: 3 wins
• Week 4: 5 wins
• Week 5: 6 wins
• Week 6: 7 wins

Now, let's tally up Bailey’s team wins week by week based on the data provided:

• Week 1: 1 win
• Week 2: 2 wins (cumulative, so total wins = 1 + 2 = 3)
• Week 3: 2 wins (cumulative, total wins = 3 + 2 = 5)
• Week 4: 2 wins (cumulative, total wins = 5 + 2 = 7)
• Week 5: 3 wins (cumulative, total wins = 7 + 3 = 10)
• Week 6: 4 wins (cumulative, total wins = 10 + 4 = 14)

Summarizing the cumulative wins by week for Bailey's Team:

• Week 1: 1 win
• Week 2: 3 wins
• Week 3: 5 wins
• Week 4: 7 wins
• Week 5: 10 wins
• Week 6: 14 wins

Now, let's compare the wins of both teams by week.

1. Week 1:

   • Jade: 0 wins
   • Bailey: 1 win
   • Not the same.

2. Week 2:

   • Jade: 1 win
   • Bailey: 3 wins
   • Not the same.

3. Week 3:

   • Jade: 3 wins
   • Bailey: 5 wins
   • Not the same.

4. Week 4:

   • Jade: 5 wins
   • Bailey: 7 wins
   • Not the same.

5. Week 5:

   • Jade: 6 wins
   • Bailey: 10 wins
   • Not the same.

6. Week 6:

   • Jade: 7 wins
   • Bailey: 14 wins
   • Not the same.

Based on the comparisons, the two teams never had the same total wins in the weeks provided. Therefore, the correct answer is: None of the options provided (week 1, week 2, week 3, week 5) are correct, since they never won the same number of games at any week.