MATH SOLVE

2 months ago

Q:
# A bird-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 /4B. 2 /7 C. 7 /2D. 4/ 1

Accepted Solution

A:

Answer:The rate of change of the graph is [tex]\frac{2}{7}[/tex] ⇒ answer BStep-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]