Question

in a beanbag 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?
( 8x + 5y > 50 )
( 8x + 5y < 50 )
( 5x + 8y geq 50 )
( 5x + 8y > 50 )

Explanation:

Step1: Determine points from each target

For round target (x times), points: \(5x\) (since 5 points per round target hit).
For square target (y times), points: \(8y\) (since 8 points per square target hit).

Step2: Total points and inequality

Total points: \(5x + 8y\). She needs more than 50 points, so \(5x + 8y > 50\).

Answer:

\(5x + 8y > 50\) (the last option: \(5x + 8y > 50\))