Represent Constraints
Dory has budgeted $300 to purchase iTune cards and video games. Each iTune card costs $15, and the price of each video game is $30.
Question 1
Which inequality represents the number of iTune cards, C, and video games, G, that Dory could purchase and stay within his budget?
Responses
A 15G + 30C ≤ 30015G + 30C ≤ 300
B 15C + 30G < 30015C + 30G < 300
C 15C + 30G ≤ 30015C + 30G ≤ 300
D 15C + 30G ≥ 30015C + 30G ≥ 300
Question 2
Dory purchases 8 iTune cards. What is the maximum number of video games that she can purchase and stay within her budget?
Responses
A 44
B 66
C 77
D 9
Question 1: C. 15C + 30G ≤ 300
Question 2: B. 66