Define a variable and write an inequality. Then solve. A local summer basecall team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games much they win this season to win at least 75% of all their games?
i know that they need to win 6 or more games but i don't know how to write an inequality to solve for the answer that i got. And my variable would be G = the number of future games that must be won
.75(20)-9 > or = 6 ?
75% of 20 games = 15 games
So they have to win AT LEAST 15 games.
Seeing as they have won 9 already, they need to win 6 more at least.
Hence the variable would be how many more wins would occur and the inequality is as you have written. (the term 'at least' refers to the mathematical symbol of greater than or equal to)
9 + G >= (0.75)x20 = 15
G >= 6
Correct! The inequality is 9 + G ≥ 15, where G is the number of future games that must be won and 15 represents 75% of all 20 games. To solve for G, you would subtract 9 from both sides of the inequality:
9 + G ≥ 15
Subtract 9 from both sides:
G ≥ 6
So, they need to win at least 6 more games this season to win at least 75% of all their games.
To write the inequality, you can use the variable G to represent the number of future games that must be won. Since the team has already won 9 games, they need to win at least 6 more games to reach a total of 15 games, which is 75% of the 20 games they will play this season.
The inequality can be written as:
9 + G >= 15
This inequality states that the sum of 9 (games won so far) and the number of future wins (G) must be greater than or equal to 15 (75% of the total 20 games).
To solve this inequality, you need to isolate the variable G. Subtracting 9 from both sides of the inequality:
G >= 15 - 9
Simplifying:
G >= 6
Therefore, the team needs to win at least 6 more games to win at least 75% of all their games this season.