Question

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?
4 + 3p ≤ 40 4 + 3p ≥ 40 4p + 3 ≥ 40 4p + 3 ≤ 40

Answer 1

@mangotangochick help please?

Answer 2

@MissMeow

Answer 3

The question states that Glenn did earn his place in the finals (Yay)
Therefore:
4 + 3p ≥ 40

This is because the minimum to get through must be 40, so even if the total score is equal to that, he would still be able to go through to the next round. Even better if his total score is greater than 40, so we use the ≥ greater than or equal to symbol.

Explanation of the left hand side of the inequality:
We know that the first point score Glenn achieved is 4 points, as it says in the question.
We are also told that the next 3 rounds his point score was identical, therefore we can denote this score a letter, say p. His total score for the next three rounds would be
p + p + p = 3p
This is because p is unchanging - a constant, and he got the same point score 3 times, so we could also say: 3 x p = 3p

Hope that answered your question!

Answer 4

Thanks so much!!! I am doing a math pretest and I don't know any of the stuff on this test. Thank you!