The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship? How many apples can she pick per hour?

Answer:The linear equation [tex]y=50(x)[/tex] and Erin can pick [tex]50[/tex] apples per hour if she maintains a constant rate.Step-by-step explanation:To find the linear equation of the relationship from the graph.We have to find the coordinates .Let say [tex](x,y)=(1,50)[/tex] and [tex](x_1,y_1)=(2,100)[/tex]Here [tex]x[/tex] variable is the time in hour and [tex]y[/tex] variable is the number of apples.To find linear equation we have to find the slope (m) of the line by using point-slope form. [tex]m=\frac{y_1-y}{x_1-x}[/tex]So,[tex]m=\frac{100-50}{2-1}=50[/tex]The the linear equation will be.    [tex]y=50(x)[/tex]Number of apples Eric pick in an hour is [tex]50[/tex].By plugging the value of [tex]x=1[/tex] in the equation we can find the number of apples picked by Erin per hours subsequently [tex]x=2[/tex] for second hour.In each hour she picks [tex]50[/tex] apples.Linear equation is  [tex]y=50(x)[/tex] and number of apples picked by Eric in an hour is [tex]50[/tex].