Question

Which linear function represents the table? A) y = 2x − 7 B) y = 2x + 7 C) y = −2x + 7 D) y = −2x − 7

Answer 1

[ The missing table is attached. ]

Step-by-step explanation:

A)

When x = 6, y = 2 (6) - 7 = 12 - 7 = 5 ≠ - 19 (given)

• A) y = 2x - 7 is inappropriate.

B)

When x = 6, y = 2 (6) + 7 = 12 + 7 = 19 ≠ - 19 (given)

• B) y = 2x + 7 is inappropriate

C)

When x = 6, y = - 2 (6) + 7 = - 12 + 7 = - 5 ≠ - 19 (given)

• C) y = - 2x + 7

D)

When x = 6, y = - 2 (6) - 7 = - 12 - 7 = - 19 (given)

When x = 9, y = - 2 (9) - 7 = - 18 - 7 = - 25 (given)

When x = - 2, y = - 2 (- 2) - 7 = 4 - 7 = - 3 (given)

When x = - 3, y = - 2 (- 3) - 7 = 6 - 7 = - 1 (given)

When x = 3, y = - 2 (3) - 7 = - 6 - 7 = - 13 (given)

• D) y = - 2x - 7 is appropriate.

Answer:

The linear function D) y = - 2x - 7 represents the given table.