Final answer:
The house will cost $284,554.53 in 2010.
Step-by-step explanation:
To find the cost of the house in 2010, we need to calculate the increase in price from 2000 to 2010. The house is increasing at a rate of 6% per year, so we can calculate the total increase over the 10-year period by multiplying the initial cost by (1 + rate of increase)^number of years.
First, we calculate (1 + 0.06)^10 = 1.790847. Then, we multiply this value by the initial cost of $159,000.
Therefore, the house will cost $284,554.53 in 2010.