In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

A: 4 + 3p ≤ 40

B: 4 + 3p ≥ 40

C: 4p + 3 ≥ 40

D: 4p + 3 ≤ 40

Actually, I think the answer is B because he scores 4 initial points, but then he scores an unknown number of points for the next 3 rounds. This sum (4 + 3p) has to be at least 40, meaning that it could be greater than or equal to 40. So the answer is B

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adioabiola adioabiola · Answer 2 · 2021-11-19T12:12:27+01:00

The inequality which represent the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals is 4 + 3p ≥ 40

Given:

Total points should be at least 40

Points scored in round 1 = 4

Additional rounds = 3

Points scored in each additional round = p

The inequality:

Points scored in round 1 + (Additional rounds × Points scored in each additional round) ≥ Total points

4 + (3 × p) ≥ 40

4 + 3p ≥ 40

solve for p

3p ≥ 40 - 4

3p ≥ 36

p ≥ 36 / 3

p ≥ 12 points

Therefore, the number of additional points scored in second, third and fourth round to earn a place in the finals is at least 12 points