Question

(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

Answer 1

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

Answer 2

Answer:  three over two

Step-by-step explanation:

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

$k=\dfrac{\text{change in y}}{\text{change in x}}$

From the consecutive values in the table, the change in x = $3-1=2$

Change in y = $5-2=3$

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

$k=\dfrac{3}{\text{2}}$