Drag each tile to the correct box. Not all tiles will be used.
The table represents the balance of Sylvia's loan, y, over a period of 24 months, x. She used technology to create the scatter plot shown and
determined the best fit equation to model the data, y=-382.05x +
25,077.40. Determine how long it will take to reach the given balances

Drag each tile to the correct box Not all tiles will be used The table represents the balance of Sylvias loan y over a period of 24 months x She used technolog class=

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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