Question

select the correct answer.
a small business averages $5,500 per month in online revenue, plus another $300 per salesperson per month. which graph shows all solutions for the number of salespeople who need to be working for the business to generate at least $7,300 in monthly revenue?
a.
graph a
b.
graph b
c.
graph c
d.
graph d

Explanation:

Step1: Define the variable

Let \( x \) be the number of salespeople. The total revenue is the base revenue (\$5500) plus the revenue from the salespeople (\$300 per salesperson). So the inequality is \( 5500 + 300x \geq 7300 \).

Step2: Solve the inequality

Subtract 5500 from both sides: \( 300x \geq 7300 - 5500 \)
\( 300x \geq 1800 \)
Divide both sides by 300: \( x \geq \frac{1800}{300} = 6 \)

Step3: Analyze the number line

We need \( x \geq 6 \), so the number line should have a closed circle at 6 (since 6 is included) and the arrow pointing to the right (for values greater than or equal to 6). Looking at the options, option A has a closed circle at 6 and the arrow to the right (wait, no, let's check again. Wait, the original options: A has closed circle at 6 and arrow up (right direction for x ≥6). Wait, let's recheck the inequality solution. We found \( x \geq 6 \), so the graph should include 6 (closed circle) and all numbers greater than 6. So the correct graph is the one with closed circle at 6 and arrow to the right (increasing x). So option A? Wait, no, let's check the options again. Wait, the problem's options: A has closed circle at 6, arrow up (right). B has open circle at 6, arrow up. C has closed circle at 6, arrow down (left). D has open circle at 6, arrow down. Wait, no, the number line: x is the number of salespeople, so x ≥6. So closed circle at 6 (since 6 is included) and arrow to the right (x increasing). So the correct option is A? Wait, no, wait the calculation: 5500 + 300x ≥7300. 300x ≥1800. x ≥6. So x is greater than or equal to 6, so closed circle at 6, arrow to the right (towards higher numbers). So the correct graph is the one with closed circle at 6 and arrow right. Looking at the options, option A: closed circle at 6, arrow up (right). So that's correct. Wait, but let's check the options again. Wait, the user's image: A has closed circle at 6, arrow up (right). B has open circle at 6, arrow up. C has closed circle at 6, arrow down (left). D has open circle at 6, arrow down. So since x ≥6, closed circle (include 6) and arrow right (x ≥6). So option A.

Answer:

A. (The graph with closed circle at 6 and arrow pointing to the right (increasing x))