Which of the following tables corresponds to the equation below?

y = 3x + 1

A.

x 0 2 6

y 1 9 25

B.

x 0 2 6

y 1 7 19

C.

x 0 2 6

y - 1 7 23

Option b

Explanation:

To solve this problem you need to plug in the values provided and determine if they make the equation true.

Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.

y = 3x + 1

1 = 3 (0) + 1

1 = 1 {true}

y = 3x + 1

9 = 3 (2) + 1

9 = 7 {not true}

Since the second ordered pair does not make the equation true, this is not the correct answer.

Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.

y = 3x + 1

1 = 3 (0) + 1

1 = 1 {true}

y = 3x + 1

7 = 3 (2) + 1

7 = 7 {true}

y = 3x + 1

19 = 3 (6) + 1

19 = 19 {true}

Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.

Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.

y = 3x + 1

-1 = 3 (0) + 1

-1 = 1 {not true}

Since the first ordered pair given does not make the equation true, this is not the correct answer.