The graph below shows the relationship between the number of batches of brownies, b, and the number of cups of flour, f, required. Based on the information in the graph, which equation can be used to predict how many cups of flour are needed for 10 batches of brownies?f = 2.5b + 10f = 2.5bf = 10b + 2.5f = 10b

Answer:The equation which can be used is [tex]f=2.5b[/tex] based on the graph. Step-by-step explanation:As the graph given is linear so we can apply linear (straight line) equations.Equation of a straight line, [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope.We can find [tex]m[/tex]  by using point-slope formula as here we can pull two co-ordinate points from the graph.Point-slope formula,[tex]y-y_{1}=m(x-x_{1)}[/tex].Then [tex]m=\frac{y-y_1}{x-x_1}[/tex]Lets choose two points from the graph,we have [tex](4,10),(6,15)[/tex] in terms of [tex](x,y)[/tex].[tex]m=\frac{15-10}{6-4} = \frac{5}{2}= 2.5 [/tex]Now comparing our values with that of the straight line equation we can see that [tex]f=y\ and\ m=2.5[/tex]Lets find the exact value of [tex]b\ as\ b=y-mx[/tex] putting [tex](6,15)[/tex] in the equation [tex]b=y-mx[/tex],we have [tex]b=15-2.5\times 6 = 0[/tex]So we can say that [tex]f=2.5b[/tex] is the relevant answer which has [tex]b=0[/tex]