Let's solve this step by step.

Information from the problem:

• Plan 1:
  $450 per week + 4% commission on sales
  This means salary = $450 + 0.04 \times S$, where $S$ is the amount of sales.

• Plan 2:
  $150 per week + 18% commission on sales
  This means salary = $150 + 0.18 \times S$.

Goal:

We need to determine the amount of sales $S$ such that both plans result in the same weekly salary. Therefore, we equate the two salary expressions:

$450 + 0.04 \times S = 150 + 0.18 \times S$

Step 1: Rearrange the equation.

Move all terms involving $S$ to one side and constant terms to the other:

$450 - 150 = 0.18 \times S - 0.04 \times S$

$300 = 0.14 \times S$

Step 2: Solve for $S$.

$S = \frac{300}{0.14} = 2142.86$

Conclusion:

Becky needs to make $2142.86 in sales for the salaries to be the same under both plans.

Let me know if you have any questions or need further clarification!

Here are 5 related questions:

1. What happens if Becky sells more than $2142.86? Which plan would be better?
2. How do the commissions change the break-even point if Plan 2's percentage is adjusted?
3. What is the total weekly salary for both plans if Becky makes $3000 in sales?
4. How would the break-even sales change if Plan 1 increased the base salary?
5. How can you determine which plan is better if Becky’s sales vary week to week?

Tip:
When comparing two salary plans, always look for the point where they are equal. Beyond that point, one plan might offer higher returns!