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Sagot :

Step-by-step explanation:

the function A, according to the tables

=> the equation : f(x) = 2x +3

the slope = 2

the function B, according to the graph

=> the equation : f(x) = 3x -2

the slope = 3

based on the value of the slope, the function B has a greater rate of change

Answer:

Step-by-step explanation:

Find the slope for the two functions

Function A:

(1 , 5)  & (2 , 7)

Slope = Change in y ÷ change in x

         [tex]= \frac{7-5}{2-1}\\\\= \frac{2}{1}\\\\= 2[/tex]

Function B:

(1 ,1) , (2 , 4)

Slope = [tex]= \frac{4-1}{2-1} = \frac{3}{1}[/tex]

             = 3

Function B has a greater rate of change