Select the correct answer from each drop-down menu.
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 Sean’s table of data is y = -115.9x + 8,007.30.

x y
0 $8,000
1 $7,888
2 $7,775
3 $7,661
4 $7,547
5 $7,432
6 $7,316
7 $7,200
8 $7,083
9 $6,966
10 $6,848
11 $6,729
12 $6,609
According to the line of best fit and using,
A) interpolation
B) extrapolation
Sean can estimate that the balance of his loan will reach $0 in a month
A) 71
B) 69
C) 68
D) 59
.

Respuesta :

According to the line of best fit and using: B) extrapolation, Sean can estimate that the balance of his loan will reach $0 in a month B) 69.

Line of best fit

Based on the information  extrapolation should be use since  x-coordinate will be higher than 12 (x, y) when y = $0.

Line of best fit equation:

y=-115.9x + 8,007.30.

Hence:

Let x represent the number of month

solving for x

0 = -115.9x + 8,007.30

115.9x = 8,007.30

x = 8,007.30/115.9

x = 69

Therefore according to the line of best fit and using: B) extrapolation, Sean can estimate that the balance of his loan will reach $0 in a month B) 69.

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