The Rattlesnakes football team plays a different opponent every week. So far this season, the Rattlesnakes have won 3 games out of 6.
Which equation models the number of consecutive games the Rattlesnakes must win in order to increase their winning percentage to 80%?
1.) 0.80= (6+x)/(3+x)
2.) 0.80= (3+x)/6
3.) 0.80= (3+x)/(6+x)
4.) 0.80= (3/6)x
currently, they have
0.50 = 3/6
so, if they play x more games, that adds x to both top and bottom of the fraction.
So, what do you think?
bingo!
12/15 = 4/5 = 80%
To answer this question, we need to understand the concept of winning percentage and how it is calculated. The winning percentage is the ratio of the number of games won to the total number of games played.
In this case, the Rattlesnakes have won 3 games out of 6 played, which gives them a winning percentage of 3/6 or 0.50. The goal is to increase this winning percentage to 0.80, which means they need to win a certain number of consecutive games to reach that percentage.
Let's say they need to win x consecutive games to achieve an 80% winning percentage. The total number of games played will then be 6 + x (the original 6 games played plus the x additional games won). The number of games won will be 3 + x (the original 3 games won plus the x additional games won).
Now, let's set up the equation to model the winning percentage as a ratio:
Winning percentage = (Number of games won) / (Total number of games played)
0.80 = (3 + x) / (6 + x)
So, the correct equation that models the number of consecutive games the Rattlesnakes must win to increase their winning percentage to 80% is:
0.80 = (3 + x) / (6 + x)
Therefore, the correct answer is option 3:
0.80 = (3 + x) / (6 + x)