To find out the dollar amount of sales that Lauren must achieve to earn $5,000 in commission at a rate of 2.5%, you can use the formula:
\[ \text{Commission} = \text{Sales} \times \text{Commission Rate} \]
In this case, you want to find the Sales given that:
\[ \text{Commission} = 5000 \] \[ \text{Commission Rate} = 2.5% = 0.025 \]
Rearranging the formula to solve for Sales:
\[ \text{Sales} = \frac{\text{Commission}}{\text{Commission Rate}} \]
Substituting the numbers into the formula:
\[ \text{Sales} = \frac{5000}{0.025} \]
Now, calculating the sales amount:
\[ \text{Sales} = 200,000 \]
Therefore, Lauren must have $200,000 in sales this month to earn $5,000 in commission.