Use the table to answer the question. x y 2.6 −6 3.2 3 Determine the rate of change of the linear function given as a table of values. (1 point) Responses m=15 m equals 15 m=−15 m equals negative 15 m=0.067 m equals 0.067 m=−5

Answer 1

To determine the rate of change of a linear function given a table of values, we need to find the slope of the line connecting the two points.

Using the points (2.6, -6) and (3.2, 3), we can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:
m = (3 - (-6)) / (3.2 - 2.6)
= 9 / 0.6
= 15

Therefore, the rate of change (slope) of the linear function given the table of values is m = 15.

Answer 2

Find the initial value of the linear function, given that the rate of change is m=−47 , and (14,3) is an (x,y) value of the linear function.(1 point) Responses b=15.71 b equals 15.71 b=−5 b equals negative 5 b=11 b equals 11 b=12.29 b equals 12.29