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.

Explanation:

Step1: Set \(y = 0\)

We want to find when the loan balance \(y = 0\). So we set up the equation \(0=-115.9x + 8007.30\).

Step2: Solve for \(x\)

First, add \(115.9x\) to both sides of the equation: \(115.9x=8007.30\).
Then, divide both sides by \(115.9\): \(x=\frac{8007.30}{115.9}\).
Using a calculator, \(x = 69.17\) (rounded to two decimal places).

Answer:

$69.17$