littledorkjr
Answered

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Which representations show a direct variation?

y = - x

y = 2 x + 3

Input (x) 3 6 9 12 15
Output (y) 4 8 12 16 20

Sagot :

mhanifa

Answer:

  • Options 1 and 3 are direct variation

Step-by-step explanation:

Direct variation is:

  • y = kx

Options:

1.

  • y = -x, k = -1, yes

2.

  • y = 2x + 3, not a direct variation, no

3.

Try the input/output to determine the direct variation:

  • 4 = 3k
  • k = 4/3

Verify the other pairs:

  • x = 6, y = 6(4/3) = 8
  • x = 9, y = 9(4/3) = 12
  • x = 12, y = 12(4/3) = 16
  • x = 15, y = 15(4/3) = 20

This is also a direct variation

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