(05.05)What is the rate of change of the linear relationship modeled in the table?



x y
1 2
3 5
5 8
7 11

negative three over two
two over three
one
1 three over two

Respuesta :

(1,2)(3,5)
slope (rate of change) = (5 - 2) / (3 - 1) = 3/2 <==

Answer:  three over two

Step-by-step explanation:

We know that the rate of change of a function [tex]y=f(x)[/tex] is given by :-

[tex]k=\dfrac{\text{change in y}}{\text{change in x}}[/tex]

From the consecutive values in the table, the change in x = [tex]3-1=2[/tex]

Change in y = [tex]5-2=3[/tex]

Now, the rate of change of the linear relationship modeled in the table will be ;-

[tex]k=\dfrac{3}{\text{2}}[/tex]