Question

juana works at a telemarketing company. she makes an average of 12 sales calls per hour. employees are encouraged to make more than 480 calls per week. juana has already made 168 calls this week. how many more hours, x, does juana need to work this week to reach the weekly goal of sales calls?

Explanation:

Step1: Set up an inequality

Let $x$ be the number of additional hours. The number of calls made in $x$ hours is $12x$, and she has already made 168 calls. The goal is more than 480 calls. So the inequality is $12x + 168>480$.

Step2: Solve the inequality for $x$

Subtract 168 from both sides: $12x+168 - 168>480 - 168$, which simplifies to $12x>312$.
Then divide both sides by 12: $\frac{12x}{12}>\frac{312}{12}$, so $x > 26$.

Answer:

The number line should have an open - circle at 26 and the arrow should point to the right. Looking at the options, without seeing the exact number - line values clearly, the correct number line should represent values greater than 26. If we assume the number lines are marked with integers, the correct one is the one with an open - circle at 26 and the arrow pointing to the right.