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prisoha [69]
3 years ago
7

A bird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. His predict

ions 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

Mathematics
2 answers:
marysya [2.9K]3 years ago
7 0

Answer:

Option B.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the rate of change is

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

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

m=\frac{2-0}{7-0}

m=\frac{2}{7}

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

Therefore, the correct option is B.

OleMash [197]3 years ago
4 0

Answer:

The rate of change of the graph is \frac{2}{7} ⇒ 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:

  m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2},y_{2})

   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

∴ m=\frac{4-0}{14-0}=\frac{4}{14}=\frac{2}{7}

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

∴ The rate of change of the graph is \frac{2}{7}

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