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Sagot :
To solve this problem, let's break it down step-by-step:
1. Identify the Points System:
- Janelle scores 5 points for each time she lands on a round target.
- She scores 8 points for each time she lands on a square target.
2. Define Variables:
- Let [tex]\( x \)[/tex] be the number of times Janelle lands on the round target.
- Let [tex]\( y \)[/tex] be the number of times Janelle lands on the square target.
3. Formulate the Total Points:
- The total points Janelle scores from landing on round targets is [tex]\( 5x \)[/tex].
- The total points she scores from landing on square targets is [tex]\( 8y \)[/tex].
4. Set Up the Inequality for Winning:
- Janelle needs more than 50 points to win. Hence, the total points from both targets must be greater than 50.
- This can be expressed as: [tex]\( 5x + 8y > 50 \)[/tex].
Therefore, the inequality that represents this situation is:
[tex]\[ 5x + 8y > 50 \][/tex]
The correct answer is:
[tex]\[ 5 x + 8 y > 50 \][/tex]
1. Identify the Points System:
- Janelle scores 5 points for each time she lands on a round target.
- She scores 8 points for each time she lands on a square target.
2. Define Variables:
- Let [tex]\( x \)[/tex] be the number of times Janelle lands on the round target.
- Let [tex]\( y \)[/tex] be the number of times Janelle lands on the square target.
3. Formulate the Total Points:
- The total points Janelle scores from landing on round targets is [tex]\( 5x \)[/tex].
- The total points she scores from landing on square targets is [tex]\( 8y \)[/tex].
4. Set Up the Inequality for Winning:
- Janelle needs more than 50 points to win. Hence, the total points from both targets must be greater than 50.
- This can be expressed as: [tex]\( 5x + 8y > 50 \)[/tex].
Therefore, the inequality that represents this situation is:
[tex]\[ 5x + 8y > 50 \][/tex]
The correct answer is:
[tex]\[ 5 x + 8 y > 50 \][/tex]
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