Question

(look at the pictures)

Answer 1

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 2

Explanation:

Find the slope for the two functions

Function A:

(1 , 5) & (2 , 7)

Slope = Change in y ÷ change in x

`= (7-5)/(2-1)\\\\= (2)/(1)\\\\= 2`

Function B:

(1 ,1) , (2 , 4)

Slope =
`= (4-1)/(2-1) = (3)/(1)`

= 3

Function B has a greater rate of change