In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 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 Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

Question

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 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 Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

(1 point)

Group of answer choices

5p + 3 ≥ 30

5 + 3p ≤ 30

5 + 3p ≥ 30

5p + 3 ≤ 30

Answer 1

Let's say Steward scored p points in each of the second, third, and fourth rounds.

For the first round, he scored 5 points.

In the second, third, and fourth rounds, he would score a total of 3p points (p points in each round).

To find the total number of points Steward scored in the first four rounds, we add his score in the first round and his score in the next three rounds:

5 + 3p

According to the given condition, Steward has to score a total of at least 30 points in the first four rounds:

5 + 3p ≥ 30

So, the answer is:

5 + 3p ≥ 30