Final answer:
The time period of the loan was approximately 1.36 years.
Step-by-step explanation:
To find the time period of the loan, we can use the formula:
Interest = Principal × Rate × Time
Given that Dave borrowed $6200 with a simple interest of 11% and eventually repaid $8928 (principal and interest), we can plug in the values into the formula:
8928 = 6200 × 0.11 × Time
Dividing both sides of the equation by 6200 × 0.11, we get:
Time = 8928 / (6200 × 0.11)
Calculating the time, we find that:
Time ≈ 1.36 years
Therefore, the time period of the loan was approximately 1.36 years.