Question

What is the rate of change for the sequence shown below. (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

Answer 1

Answer:

0.5

Step-by-step explanation:

The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

The corresponding sequence is :

2,2.5,3,3.5, 4,....

We can see that there is a common difference of d=0.5.

Better still we could use the slope formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

We substitute the point (1,2) and (2,2.5).

The rate of change of this sequence is:

$m = \frac{2.5 - 2}{2 - 1} = \frac{0.5}{1} = 0.5$