Question
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 negative 15 m=−5 m equals negative 5 m=0.067 m equals 0.067 m=15 m equals 15
Answers
GPT 3.5
The rate of change of a linear function is represented by the slope (m). To determine the slope, we can use the formula:
m = (change in y) / (change in x)
From the values in the table:
change in y = 3 - (-6) = 3 + 6 = 9
change in x = 3.2 - 2.6 = 0.6
Substitute these values into the formula:
m = 9 / 0.6 = 15
Therefore, the rate of change of the linear function is m = 15.
m = (change in y) / (change in x)
From the values in the table:
change in y = 3 - (-6) = 3 + 6 = 9
change in x = 3.2 - 2.6 = 0.6
Substitute these values into the formula:
m = 9 / 0.6 = 15
Therefore, the rate of change of the linear function is m = 15.