Answer:
Option A - 4 years
Step-by-step explanation:
Given : Mike and Beatrice purchase a house for $200,000. If the equation
represents the value of the house after x years.
To find : How many years will it take the house to be worth approximately $225,000?
Solution :
The given equation is 
x is the number of years and V is the price of house.
In how many years the price became $225,000
V=$225,000
Substitute in the equation,




Taking log both side,

Apply logarithmic formula, 



Approximately x=4 years.
Therefore, Option A is correct.