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 correct answer is the first option: A coordinate plane with a straight line with a negative slope passing through

Explanation:

The function with a constant additive rate of change of –1/4 is a straight line with a negative slope. The line passes through the points (negative 2, 2) and (2, 1), which means that for every four units that x increases, the corresponding y value decreases by one unit. This can be represented by the equation

y = (-1/4)x + 3/2.

A curved line passing through (negative 1, 2), (0, negative 1), the minimum

(2, negative 2), and

(4, 1) does not have a constant additive rate of change and cannot be the function in question.