Answer: $ 290 thousand
Step-by-step explanation:
Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.
Let X be the the average price of a new home in 2000 .
Then , the 62 % increase in price is given by :-

Since , the the average price of the home in 2016 = $470 thosand

Hence, the average price of a new home in 2000 = $ 290 thousand .