Final answer:
After approximately 51 months, the balance of the loan will reach $0.
Step-by-step explanation:
The equation given for the line of best fit is y = -353.71x + 18,075.
To find out after how many months the balance of the loan will reach $0, we need to set y (the balance) equal to 0 and solve for x (months).
So, 0 = -353.71x + 18,075.
Simplifying the equation, we get:
x = (18,075)/353.71 ≈ 51 months.
Therefore, after approximately 51 months, the balance of the loan will reach $0.