Question

100 Points Please Help Quick

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, and 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, and negative 2.5.

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

Answer 1

(A) is correct.

Explanation:

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.