The graph below shows the line of best fit for data collected on the number of cell phones and cell phone cases sold at a local electronics store on twelve different days.Which of the following is the equation for the line of best fit?a: y = 0.25xb: y = 0.5xc: y = 0.8xD: y = 0.2x

Accepted Solution

Answer:CStep-by-step explanation:The equation of a line is given by [tex]y-y_1=m(x-x_1)[/tex]andslope (m) is given by:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of pointLet's take 2 points arbitrarily. (0,0) & (25,20)Let's plug it and find the equation:[tex]m=\frac{20-0}{25-0}=0.8[/tex]Now[tex]y-y_1=m(x-x_1)\\y-0=0.8(x-0)\\y=0.8x[/tex]C is the correct answer.