At Hamburger Heaven, they use two buns for every hamburger. The following shows how the number of buns, y, changes as the number of hamburgers, x, changes.
Which equation shows this relationship?
A.
y + 2 = x
B.
y = x + 2
C.
2y = x
D.
y = 2x
point starts from 0 all the way to 10 on y and middle of 5 and 6 on x
Without additional information, it is not possible to determine which equation shows this relationship. The given graph only shows a set of coordinates and does not provide enough data to determine the equation.
numbers for x are 1 2 3 4 5 6 7 8 9 10 from left to right and numbers for y are the same but it starts from the bottom to the top 10 is the top
Based on the given information, we can see that as the number of hamburgers (x) increases by 1, the number of buns (y) increases by 2.
Therefore, the equation that shows this relationship is:
D. y = 2x
A pen company wants to put two extra pens in every package of pens. The following shows how the new number of pens in a package, y, changes as the original number of pens in a package, x, changes.
Which equation shows this relationship?
A.
y + 2 = x
B.
y = 2x
C.
y = x + 2
D.
2y = x
starts from 2 on y and goes to 10 on y numbers are 1-10 from bottom to top 10 being at the top for y and for x 1-10 left to right last number on right is 10
Based on the given information, we can see that the new number of pens in a package (y) is equal to the original number of pens in a package (x) plus two.
Therefore, the equation that shows this relationship is:
C. y = x + 2
To determine the equation that shows the relationship between the number of buns, y, and the number of hamburgers, x, we can observe the given information.
From the information provided, we can see that for every hamburger, two buns are used. This suggests a linear relationship between the number of buns and the number of hamburgers.
Looking at the answer choices:
A. y + 2 = x
B. y = x + 2
C. 2y = x
D. y = 2x
We can plug in the given point (x, y) = (5.5, 11) into each equation to see which one satisfies the relationship.
A. (5.5) + 2 ≠ 11
B. (5.5) + 2 ≠ 11
C. 2(11) ≠ 5.5
D. (5.5) ≠ 2(11)
Based on these calculations, we can see that none of the options match the given relationship between the number of buns and the number of hamburgers.
Therefore, none of the answer choices accurately represent the relationship between the number of buns, y, and the number of hamburgers, x, based on the given information.