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

Explanation:

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

`k=\frac{\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=\frac{3}{\text{2}}`