The rate of change for the given plot is 3.
Step-by-step explanation:
The rate of change is also called as slope.
Consider these two points forms a straight line in a graph. Then the line equation can be given by y=mx+c.
where m= slope and c = y-intercept.
Then the slope can be calculated by the the formula:
m=[tex]\frac{rise}{run}[/tex].
rise = change in vertical direction.
⇒rise =[tex]y_2-y_1[/tex].
run = change in horizontal direction.
⇒run =[tex]x_2-x_1[/tex].
Apply the plots (0,20) and (20,80) in the formula.
rise=80-20.
rise=60.
run=20-0.
run=20.
m=[tex]\frac{60}{20}[/tex].
m=3.
The rate of change is 3.