Question

sean created this table to represent the balance of his loan, y, over a period of months, x. the equation for the line of best fit for seans table of data is ( y = - 115.9x + 8,007.30 ).

according to the line of best fit and using, sean can estimate that the balance of his loan will reach $0 in month 69.

Explanation:

Interpolation is used to estimate values within the range of the given data points. Here, we are estimating the month when the loan balance reaches $0$ using the line - of - best - fit equation \(y=-115.9x + 8007.30\). The data points range from \(x = 0\) to \(x=12\), and estimating for \(y = 0\) (a value within the context of the loan - balance model) is interpolation. Extrapolation would be used if we were estimating for a value outside the range of \(x\) values in the original data set (e.g., if we had data up to \(x = 12\) and were estimating for \(x=20\)).

Answer:

interpolation