A local store’s clearance rack is full of DVDs selling for 8 dollars each and CDs selling for 6 dollars each. Let x represent the number of DVDs, and let y represent the number of CDs. Which inequality can be used to find combinations of DVDs and CDs that can be bought with a 50 dollars gift card?
Answer
A
8 x plus 6 y is greater than or equal to 50
B
8 x plus 6 y is less than or equal to 50
C
8 y plus 6 x is less than or equal to 50
D
8 y plus 6 x is greater than or equal to 50
Explanation
The DVDs cost 8 dollars each, so x DVDs cost 8x dollars. The CDs cost 6 dollars each, so y CDs cost 6y dollars. To stay within a 50-dollar gift card, the total cost must be at most 50: 8x + 6y ≤ 50. Choice B states this inequality.
AI-written and checked against the verified answer.