https://file.aiquickdraw.com/mathbot/file/1726554130030ygp6s0oh.jpg

Let's break down the problem from your homework.

You are asked to find out how much Mandla's total sales need to be in order for his yearly income to meet or exceed $70,000. Here's the situation:

- Mandla gets a base salary of $14,000.
- He also earns a commission of 4% (or 0.04) on his total sales.
- Mandla's goal is to earn at least $70,000 a year.

### Step-by-Step Solution:
Let $ x $ represent the total sales Mandla needs to make.

1. His total income will be the sum of his base salary and his commission on sales. The commission is 4% of his total sales, so his income can be expressed as:
   \[
   \text{Total Income} = 14,000 + 0.04x
   \]
   
2. We want this total income to be at least $70,000:
   \[
   14,000 + 0.04x \geq 70,000
   \]

3. Subtract 14,000 from both sides to isolate the sales term:
   \[
   0.04x \geq 70,000 - 14,000
   \]
   \[
   0.04x \geq 56,000
   \]

4. Now, divide both sides by 0.04 to solve for $ x $:
   \[
   x \geq \frac{56,000}{0.04}
   \]
   \[
   x \geq 1,400,000
   \]

So, Mandla needs to make at least **$1,400,000** in total sales to achieve a yearly income of at least $70,000.

---

Would you like a detailed breakdown of any specific step? Let me know!

Here are 5 related questions:
1. What is Mandla's total income if he makes $1,500,000 in sales?
2. How would Mandla's required total sales change if the base salary were increased to $20,000?
3. If Mandla's commission rate increased to 5%, what would his total sales need to be?
4. How much does Mandla make in commission if his total sales are $1,400,000?
5. What is the difference in total income between two jobs where one offers a higher base salary but lower commission?

**Tip**: Always double-check that the inequality points in the correct direction when solving minimum requirement problems.

Mandla's goal is to find a job that provides an income of at least $70,000 a year. Scarlett's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 4% of his sales. Determine what Mandla's total sales will need to be for him to have a yearly income greater than or equal to $70,000.

Learn how to calculate the total sales needed for Mandla to achieve a yearly income of $70,000 with a base salary of $14,000 and a 4% commission on sales. This problem involves solving a linear inequality and applying basic algebra concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation