How many points do you already have in total? How many more points do you need to qualify?
At least 8.3
Practice makes perfect
We are given some of the resulting scores for a competition.
Dive
Score
Front Dive
9.8
Back Dive
8.9
Reverse Dive
8.4
Inward Dive
8.2
Twisting Dive
9.4
Armstand Dive
?
We need to find the possible scores we can get in the last dive to qualify knowing that at least 53 points is needed in total.
What Information Do You Know? What Information Do You Need?
We know that to qualify we need at least 53 points. Using the given table we can evaluate how many points we already have. Let's use x for the score we can get in the last dive to qualify. The total score will be the sum of all of the scores.
9.8 + 8.9 + 8.4 + 8.2 + 9.4 + x = 44.7 + x
The total score is 44.7+x and now we need to find the value of x.
How Might Writing and Solving an Inequality Help You?
If we can relate the total score with the qualifying score through an inequality, solving it will help us to know how many points we should get to qualify. Since we know that the total score is 44.7+x and that the qualifying score is at least 53 points, we can write the following inequality.
44.7 + x ≥ 53
This guarantees that our final score will be greater than or equal to the qualifying score.
What Does the Solution of the Inequality Mean in Terms of the Original Situation?
