Question

A line of best fit is drawn for the set of points shown on the graph.

A 2-column table with 10 rows. The first column is labeled x with entries 5, 6, 8, 8, 10, 11, 14, 15, 16, 18. The second column is labeled y with entries 8.9, 11.4, 13.6, 14, 15.3, 12.25, 22.1, 21.8, 20.8, 24.5. A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 24. A line increases from 0 to 17.
Which point is an approximate extrapolation for x = 30 from the line of best fit?

(23, 30)
(30, 38)
(44, 30)
(30, 72)

Answer 1

(30, 38)

Using the line of best fit (approx y = 1.139x + 3.822), y(30) ≈ 1.139·30 + 3.822 ≈ 38.