The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds: Which equation best represents the relationship between x and y?
Mathematics
Wilson45
Question
The graph below shows the price, y, in dollars, of different amounts of granola, x, in pounds:
Which equation best represents the relationship between x and y?
y = 8x
y = x + 4
y = 4x
y = x + 8
Which equation best represents the relationship between x and y?
y = 8x
y = x + 4
y = 4x
y = x + 8
2 Answer

1. User Answers jarrettvickery
y=4x. its 4 bucks for each pound of granola 
2. User Answers JeanaShupp
Answer: [tex]y = 4x[/tex]
Stepbystep explanation:
The standard equation of a line in intercept form is given by :
[tex]y=mx+c\ \ \ \ \ \ \ (i)[/tex], where m is the slope of the line and c is the yintercept.
The graph shows the price, y, in dollars, of different amounts of granola, x, in pounds:
From the graph , it can be seen that the line is passing from the origin (0,0).
Put x=0 and y=0 in (i) , we get c=0
Also, at x= 2, we have y=8
Put these values in (i) , we get
[tex]8=m(2)+0\\\\\Rightarrow\ m=\dfrac{8}{2}=4[/tex]
Now, the equation best represents the relationship between x and y will be
[tex]y = 4x+0\\\\\Rightarrow\ y = 4x[/tex]