Using x as the variable, write the equation or inequality that would correctly solve this problem.
Question:
Carmen needs at least 86 points to pass Karissa's score. Karissa has 631 points. How many points does Carmen have?
(there was also some text under the answer box that read: Follow this example: x < 50)
Answer: x = 545 (I think)
Am I right?
Inequalities usually do not have a single number as a solution.
How far behind Karissa is Carmen? 631-x
Now, we know that that's more than 86 points. That is,
631-x >= 86
631-86 >= x
x =< 545
Your answer means that Carmen would tie Karissa's score if she got 545 points.
But we are told that she needs at least 86 points to score more than Karissa.
So, any score less than 545 needs more than 86 points.
Ok thank you!
Yes, you are correct! To find out how many points Carmen has, we can start by writing an inequality to represent the situation.
Let's use "x" as the variable to represent the number of points Carmen has. Since Carmen needs at least 86 points to pass Karissa's score of 631, we can write the inequality as:
x ≥ 631 + 86
Simplifying this expression gives us:
x ≥ 717
This means that Carmen needs to score at least 717 points to pass Karissa. However, since we are trying to find the exact number of points Carmen has, we should solve for x by removing the inequality sign.
Based on the given points that Karissa has (631), Carmen needs to have at least 717 points to pass Karissa. So, if we assume Carmen has the minimum number of points required, we have:
x = 717
However, it's important to note that the problem doesn't provide a specific score for Carmen, so we can't be certain if Carmen scored the minimum required to pass Karissa. Therefore, the answer "x = 545" is incorrect based on the information given in the problem.