Question

Use the table to answer the question.

x y
0.5 15,000
1 13,000
2 12,000
4 10,000
6 5,000
The loan amount is a function of time and can be represented by the line of best fit y=15,413−1,635x
, where x is the number of years. The table shows the values of the scatterplot. Based on the table and line of best fit, find the loan amount after 8 years and state whether extrapolation or interpolation is occurring.

(1 point)
Responses

$28,493 and interpolation
$28,493 and interpolation

$2,333 and extrapolation
$2,333 and extrapolation

$2,333 and interpolation
$2,333 and interpolation

$28,493 and extrapolation

Answer 1

y(8) = 15,413 − 1,635(8) = 2,333, and this is extrapolation (8 is outside the given x-values).