Question

In Ms. Johnson's class, a student will get 3 points for having their name on their paper and 4 points for each question that is correct. In Mr. Gallegos class, a student will get 7 points for having their name on their paper and 2 points for each question correct. Which inequality could be used to determine x, the number of questions that would give you a higher grade in Ms. Johnson's class?

a) 3x > 7x
b) 4x > 7x
c) 3x + 4 > 7x + 2
d) 3x + 4 < 7x + 2

Answer 1

The correct inequality to determine the number of questions x that gives a higher grade in Ms. Johnson's class is c) 3 + 4x > 7 + 2x.

Step-by-step explanation:

The inequality that could be used to determine x, the number of questions that would give you a higher grade in Ms. Johnson's class compared to Mr. Gallegos's class is:

c) 3 + 4x > 7 + 2x

To find the number of question x for which Ms. Johnson's scoring would result in a higher grade, you set up an inequality where the total points in her class would be greater than the total points in Mr. Gallegos's class. The 3 points and 7 points are the points for having a student's name on the paper in each respective class, while 4 points and 2 points are the points per correctly answered question. You want the expression that calculates the total score in Ms. Johnson's class (3 points for the name plus 4 points per question) to be greater than the total score in Mr. Gallegos's class (7 points for the name plus 2 points per question).