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

Answer 1

y=4x. its 4 bucks for each pound of granola

Answer 2

Answer:
`y = 4x`

Explanation:

The standard equation of a line in intercept form is given by :-

`y=mx+c\ \ \ \ \ \ \ (i)`, 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

`y = 4x+0\\\\\Rightarrow\ y = 4x`