Question

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; 4 months

B.
200x + 800 = 1,600; 4 months

C.
800x + 200 = 1,600; 2 months

D.
200x + 800 = 1,600; 2 months

Answer 1

B.

200x + 800 = 1,600; 4 months

Explanation:

Since 200 is the amount you pay each month, and x is the months, we pay 200 dollars for each month. We also add 800 because that was the initial price she paid, which is known. We then complete the equation by making it equal to 1600 dollars, which is the total amount she paid.

When we get 200x + 800 = 1,600, we solve for x.

First, we minus 800 on each side to isolate x. 200x=1600-800

Then, we simplify, 200x=800

Lastly we divide by 200 on both sides to completely isolate x and complete the equation. 200x=800÷200

Simplify, getting x=4 (months)

Hope you understood!