Answer:
To find the value of Clare's home in 2006 after an 18% increase, we can use the following formula:
Value in 2006 = Value in 2001 x (1 + Percent Increase)
Plugging in the values given in the problem, we get:
Value in 2006 = $135,000 x (1 + 0.18)
Simplifying this expression, we get:
Value in 2006 = $135,000 x 1.18
Value in 2006 = $159,300
Therefore, Clare's home was worth $159,300 in 2006 after an 18% increase in value from its original price of $135,000 in 2001.