The correct equation that represents the given situation is A. 200x + 800 = 1,600; 2 months.
To find the number of additional months that Ms. Jessop leased the car after the initial three months, we can set up the equation based on the information provided.
The cost for the first three months is $800, and after that, it is $200 per additional month. Ms. Jessop paid a total of $1,600 to lease the car.
Let x represent the number of additional months she leased the car after the initial three months.
So, the equation would be: 200x + 800 = 1,600.
Now, we can solve for x by isolating the variable on one side of the equation.
Subtracting 800 from both sides gives us: 200x = 1,600 - 800.
Simplifying the right side gives us: 200x = 800.
Dividing both sides by 200 gives us: x = 4.
Therefore, Ms. Jessop leased the car for 4 additional months after the initial three months.
Option A correctly represents the given situation and the number of additional months as 2 months. However, this answer is not consistent with the information provided, as Ms. Jessop paid a total of $1,600 to lease the car. So, the correct answer is A. 200x + 800 = 1,600; 4 months.