Answer:
The rate of change of the graph is [tex]\frac{2}{7}[/tex] ⇒ 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:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
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
∴ [tex]m=\frac{4-0}{14-0}=\frac{4}{14}=\frac{2}{7}[/tex]
∵ The slope of the line represents the rate of change of the graph
∴ The rate of change of the graph is [tex]\frac{2}{7}[/tex]
