Questions: In a beanberg toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation? 5x + 8y > 50 5x + 8y ≥ 50 5x + 5y > 50 8x + 5y < 50

In a beanberg toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?
5x + 8y > 50
5x + 8y ≥ 50
5x + 5y > 50
8x + 5y < 50
Transcript text: In a beanberg toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let $y$ represent the number of times she lands on the square target. Which inequality represents the situation? $5 x+8 y>50$ $5 x+8 y \geq 50$ $5 x+5 y>50$ $8 x+5 y<50$
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Solution

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Solution Steps

Step 1: Identify the variables and their corresponding points
  • Let \( x \) represent the number of times Janelle lands on the round target, which scores 5 points each.
  • Let \( y \) represent the number of times Janelle lands on the square target, which scores 8 points each.
Step 2: Write the expression for total points
  • The total points scored by Janelle can be expressed as \( 5x + 8y \).
Step 3: Determine the inequality based on the condition
  • Janelle needs more than 50 points to win, so the inequality representing this situation is \( 5x + 8y > 50 \).
Step 4: Compare with the given options
  • The correct inequality is \( 5x + 8y > 50 \), which matches the first option.

Final Answer

\(\boxed{5x + 8y > 50}\)

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