Question

1. which inequality represents the number of itunes cards, c, and video games, g, that dory could purchase and stay within his budget?a $15g + 30c \leq 300$b $15c + 30g < 300$c $15c + 30g \leq 300$d $15c + 30g \geq 300$2. dory purchases 8 itunes cards. what is the maximum number of video games that she can purchase and stay within her budget?a 4b 6c 7d 9

Explanation:

Step1: Identify correct budget inequality

To stay within budget, total cost ≤ 300. Let each iTunes card (C) cost $15, each video game (G) cost $30. Total cost: $15C + 30G$. So inequality is $15C + 30G \leq 300$.

Step2: Substitute C=8 into inequality

Substitute $C=8$: $15(8) + 30G \leq 300$
Calculate $15\times8=120$, so $120 + 30G \leq 300$

Step3: Solve for G

Subtract 120 from both sides: $30G \leq 300 - 120$
$30G \leq 180$
Divide by 30: $G \leq \frac{180}{30}$
$G \leq 6$

Answer:

1. C. $15C + 30G \leq 300$
2. B. 6