Question

a store is selling candy for $6 for 12 bags. how much will it cost if you need to have 110 bags? solve: -22 < m - 57 write an inequality that represents the graph below: graph the inequality on a number line: 6 > m

Explanation:

Step1: Find unit cost

$\text{Unit cost} = \frac{\$6}{12} = \$0.50$ per bag

Step2: Calculate total cost for 110 bags

$\text{Total cost} = 110 \times \$0.50 = \$55$

Step3: Solve the inequality

Add 57 to both sides:
$-22 + 57 < m - 57 + 57$
$35 < m$ or $m > 35$

Step4: Write inequality from graph

Closed circle at 2, arrow right: $x \geq 2$

Step5: Graph $6 > m$

Rewrite as $m < 6$: Open circle at 6, draw arrow left on number line.

Answer:

1. $\$55$
2. $m > 35$
3. $x \geq 2$
4. (Open circle at 6, arrow pointing left on number line)