Question

1. Use the table and the graph to answer the questions.
Function 1
x


2 3
y 3 5 7


Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?

Answer 1

(a) What is the rate of change for each function? Show your work.function 1
 Function 1 can be graphed and is given by the following line
 y = 2x - 1
 the slope of the line in this case is m = 2

 Function 2 
 For this case you get the slope as follows
 m = (y2-y1) / (x2-x1)
 choosing two points and substituting
 m = ((0) - (4)) / ((- 1) - (0)) = 4

 (b) Which function has the greatest rate of change? 
 Function 2 has the greatest rate of change
 m = 4