361,022 views
39 votes
39 votes
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.
A number line ranges from 0 through 10 from left to the right in increments of 1. A solid circular point is at 6. An arrow extends from the point toward the left.
B.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the left.
C.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the left.
D.
A number line ranges from 0 through 10 from left to the right in increments of 1. A hollow circular point is at 6. An arrow extends from the point toward the right.

User Sumei
by
2.7k points

1 Answer

9 votes
9 votes

Answer:

D.

Explanation:

Hey there!

In order to find which description of the graph matches the problem, we must first create an equation or an inequality

So, we need to find how much more people the company needs to reach their goal to generate at least $7,300 in monthly revenue

We know that each person adds $300 to the already total of $5,500 per month

Now we can form the equation with this knowledge


300x + 5,500 \geq 7,300 where x is the number of people

Now we can simplify the equation


300x\geq 7500 - 5500\\ 300x\geq 2000\\x\geq 6.67

Since we cannot have 6.67th of a person, we must round down because it means that we need more than 6 people

If we round up, it means that you need more 7 people in order to get $7,300 which isn't true

This means, you need more than 6 salespeople per month in order to meet the monthly quota of $7,300 in monthly revenue

Now that we know this, we can make a graph, or find the correct description of the graph

Since they need more than 6 people, the dot that sits on 6 in the number line will not be filled in, indicating that you need more than 6 salespeople

And since we need MORE, not LESS, the line will be pointing to the right

So, the correct answer would be D.

User Kasey Kirkham
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.