Question

Which function has a constant additive rate of change of –1/4?

A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).

A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).

A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5.

A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.

Answer 1

The straight line. Using the points (-2, 2) and (2, 1), slope = (1 − 2)/(2 − (−2)) = −1/4, and a line has a constant rate of change. (The line's equation is y = −(1/4)x + 3/2.)