Final answer:
Brianna should list her house for a minimum of $175,100. This amount accounts for the 3% buyer's realtor commission, ensuring she receives at least $169,800 from the sale after the commission is deducted.
Step-by-step explanation:
To accommodate Brianna's requirements for selling her house, we need to calculate the minimum list price that takes into account the buyer's realtor commission. Since Brianna needs to receive a minimum of $169,800 from the sale, and there's a 3% commission for the realtor, we can set up the equation: final sale price - 3% of final sale price = $169,800. To find the final sale price, we divide $169,800 by 0.97 (which represents 100% - 3% commission). The calculation results in approximately $175,051.55.
Since Brianna needs to round up to the nearest hundred dollars, she should list the house at a minimum of $175,100 to ensure she receives at least $169,800 after the realtor's commission is taken into account. The 3% commission accounts for $5,253 of the list price, which allows the buyer's realtor to be paid while Brianna receives her desired minimum amount.