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Kylee is playing a game. She has to receive more than 20 points on average over 5 games to move on to the next level. Which inequality represents this situation if [tex]t[/tex] represents the total number of points Kylee earned for 5 games?

A. [tex]\frac{t}{5} \geq 20[/tex]
B. [tex]\frac{t}{5} \leq 20[/tex]
C. [tex]\frac{t}{5} \ \textless \ 20[/tex]
D. [tex]\frac{t}{5} \ \textgreater \ 20[/tex]

Sagot :

GinnyAnsweridn
To find the correct inequality that represents Kylee's situation, we need to connect the total points [tex]\( t \)[/tex] she earned over 5 games to the condition that her average must be more than 20 points.

1. Total Points: Let [tex]\( t \)[/tex] represent the total points Kylee earned over 5 games.
2. Number of Games: This is given as 5.
3. Average Points per Game: The average points per game can be calculated by dividing the total points [tex]\( t \)[/tex] by the number of games, which is 5. Therefore, the average points per game is [tex]\( \frac{t}{5} \)[/tex].

Kylee needs to have more than 20 points on average to progress to the next level. So, we set up the inequality where the average points per game must be greater than 20:

[tex]\[ \frac{t}{5} > 20 \][/tex]

Thus, the inequality that represents this situation is:

[tex]\[ \frac{t}{5} > 20 \][/tex]

So, the correct choice is:

[tex]\[ t / 5 > 20 \][/tex]

Therefore, the fourth inequality in the list is the one that correctly represents the situation.
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