Section: Math 0 Likes
A certain university offers courses that are either 3 credits or 4 (May 2022 U.S.)
A certain university offers courses that are either 3 credits or 4 credits per course each semester. A student registered for a total of 16 credits for the fall semester.
Which equation represents the possible number of 3-credit courses, x, and 4-credit courses, y, that the student could have registered for?
A) 3x+4y = 7
B) 3x+4y = 16
C) x+y = 7
D) x+y = 16
Solution
Correct answer: B) 3x+4y = 16.
The correct equation should represent the total number of credits (16) as the sum of credits from 3-credit courses (3x) and credits from 4-credit courses (4y).
Let's analyze the options:
A) 3x+4y = 7: This equation doesn't represent the total credits being 16.
B) 3x+4y = 16: This equation makes sense because it adds the credits from 3-credit courses (3x) and 4-credit courses (4y) and equates it to the total credits (16).
C) x+y = 7: This equation simply represents the total number of courses (x+y) and not the total credits.
D) x+y = 16: Similar to option C, this equation only represents the total number of courses, not considering the individual credit values.
Exam Edition: May 2022 U.S.
Exam Year: 2022
Related topics: Algebraic Equations