Using the given linear function, it is found that:
- The balance will be of approximately $17,000 in month 21.
- The balance will be of approximately $0 in month 66.
What is the function for the balance?
The balance after x months is modeled by:
y = -382.05x + 25077.4.
Hence, it will be of approximately $17,000 at x for which y = 17000, hence:
17000 = -382.05x + 25077.4
x = (25077.4 - 17000)/382.05
x = 21.
We apply the same logic to find when it will be of approximately 0.
0 = -382.05x + 25077.4
x = (25077.4 - 0)/382.05
x = 66.
More can be learned about linear functions at https://brainly.com/question/24808124