Write this as an inequality. there is a sales person for glitz and glue and glitter each month you earn $450 +1/8 of your sales. What amount must you sell this month to earn more than $2000?

To express this situation as an inequality, let's define the variable $ x $ to represent the amount in sales this month.

**Given:**
- Base earnings: $450
- Commission: $\frac{1}{8}$ of sales ($\frac{1}{8}x$)
- Total earnings must be more than $2000.

**Inequality:**

\[
450 + \frac{1}{8}x > 2000
\]

Now, solve for $ x $:

1. Subtract 450 from both sides:

\[
\frac{1}{8}x > 1550
\]

2. Multiply both sides by 8 to eliminate the fraction:

\[
x > 12400
\]

**Conclusion:**  
The salesperson must sell more than $12,400 this month to earn more than $2000.

Would you like further details or have any questions?

Here are 5 related questions you might find useful:
1. How would the inequality change if the commission was $\frac{1}{10}$ of the sales?
2. What if the base earnings were increased to $500 instead of $450?
3. How would this inequality change if the goal was to earn at least $2000 instead of more than $2000?
4. What are the sales required to earn $3000 with the same commission structure?
5. How would the solution change if a fixed deduction of $100 was applied before calculating the earnings?

**Tip:** When solving inequalities involving fractions, multiply both sides by the reciprocal to simplify the problem.

Write this as an inequality. There is a salesperson for Glitz and Glue and Glitter. Each month you earn $450 + 1/8 of your sales. What amount must you sell this month to earn more than $2000?

Learn how to solve an inequality for a salesperson's earnings, where they make $450 plus 1/8 of their sales. Find out how much they need to sell to earn over $2000. This problem involves linear inequalities and basic algebra concepts. Suitable for students in Grades 8-10.

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