Abird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. his predictions are shown in the graph. what is the rate of change in the graph?

a. 1 /4

b. 2 /7

c. 7 /2

d. 4/ 1

The rate of change of the graph is ⇒ answer B

Step-by-step explanation:

- The graph represents a linear relation between the number of

  songbird and the number of birds of prey

* x-axis represents the number of the songbirds

* y-axis represents the number of birds of prey

- The rate of change is represented by the slope of the line

- The rule of the slope of a line is:

  , where and

   are two points lie on the line

- Let us find two points lie on the line from the attached figure

∵ Points (0 , 0) and (14 , 4) lie on the line

- By using the rule of the slope

∴

∵ The slope of the line represents the rate of change of the graph

∴ The rate of change of the graph is

Option B.

Step-by-step explanation:

If a line passes through two points and , then the rate of change is

From the given graph it is clear that the graph passes through the points (0,0) and (7,2).

So, the rate of change in the graph is

The rate of change in the graph is 2/7.

Therefore, the correct option is B.

answer:

sometimes

*i think