The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. The four points shown on the graph are ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars. Write an equation to represent the relationship between the total cost (y) and the number of bags of peanuts (x). y = 4x y = one-fourth x y = 3x y = one-third x

Respuesta :

dive the cost by the number of bags for each dot:

4 / 1 = 4

8 / 2 = 4

12 / 3 = 4

This means each bag cost $4

The equation would be Y = 4X, because you would multiply each bag bought (X) by $4 to get the total cost (Y).

The equation of the line through the given points is required.

The equation of the line is [tex]y=4x[/tex]

The points on the graph are

[tex](0,0)[/tex]

[tex](1,4)[/tex]

[tex](2,8)[/tex]

[tex](3,12)[/tex]

Let us take two points and find the line between them.

[tex](0,0)[/tex] and [tex](1,4)[/tex]

The equation of the line is

[tex]y-0=\dfrac{4-0}{1-0}(x-0)\\\Rightarrow y=4x[/tex]

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