Which of the following tables corresponds to the equation below? y = 3x + 1

A.
x026
y1925

B.
x026
y1719

C.
x026
y-1723

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.