A lease on a car costs $800 for the first three months and then $200 per additional month. Ms. Jessop paid $1,600 to lease the car. Select the equation that represents the given situation, and find the number of additional months that Ms. Jessop leased the car after the initial three months.
A. 800x + 200 = 1,600; 2 months
B. 200x + 800 = 1,600; 2 months
C. 200x + 800 = 1,600; 4 months
D. 800x + 200 = 1,600; 4 months
The correct equation that represents the given situation is option A. The equation is 800x + 200 = 1,600, where x represents the number of additional months.
To find the number of additional months that Ms. Jessop leased the car after the initial three months, we can substitute 1,600 into the equation and solve for x:
800x + 200 = 1,600
800x = 1,600 - 200
800x = 1,400
x = 1,400/800
x = 1.75
However, since the question is asking for the number of whole additional months, we round down to the nearest whole number. Therefore, Ms. Jessop leased the car for 1 additional month after the initial three months.
Therefore, the correct answer is A. 800x + 200 = 1,600; 2 months.