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)

5 + 3p ≥ 30

5 + 3p ≤ 30

5p + 3 ≥ 30

5p + 3 ≤ 30

Answer 1

5 + 3p ≥ 30 because you start with the 5 points from the first round then add 3 equal amount of points that have to end up being greater than or equal to 30

Answer 2

Answer:
`5+p\geq30`

Explanation:

Given: The total points which a participant has to score in the first four rounds atleast = 30 points

The score of Steward in the first round = 5 points

Let p be the number of points that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals.

Thus, the points he make to move to the fifth round = 5+p

Then the required inequality will be

`5+p\geq30`