Mathematics

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
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?

2 Answer

  • y=4x. its 4 bucks for each pound of granola
  • Answer: [tex]y = 4x[/tex]

    Step-by-step 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 y-intercept.

    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]

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