Question

The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which table represents this relationship?

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, 2, 3. Column 2 is labeled y with entries 4, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 2, 3. Column 2 is labeled y with entries 4, 8, 16.
A 2-column table with 3 rows. Column 1 is labeled x with entries 1, 4, 5. Column 2 is labeled y with entries 4, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 8. Column 2 is labeled y with entries 8, 16, 32.

Answer 1

A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 8. Column 2 is labeled y with entries 8, 16, 32.

Explanation:

Answer 2

D. A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 8. Column 2 is labeled y with entries 8, 16, 32.

Explanation:

Since y must be 4x or equal to x times 4, we just take the entries and see if when multiplied by 4, the x entries equal the y entries.

A.

0 x 4 = 0

2 x 4 = 8

3 x 4 = 12

0, 8, 12
`\\eq` 4, 8, 12

B.

1 x 4 = 4

2 x 4 = 8

3 x 4 = 12

4, 8, 12
`\\eq` 4, 8, 16

C.

1 x 4 = 4

4 x 4 = 16

4 x 5 = 20

4, 16, 20
`\\eq` 4, 8, 12

D.

2 x 4 = 8

4 x 4 = 16

8 x 4 = 32

8, 16, 32 = 8, 16, 32

D is the answer

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