An input-output table is a two-column table in which the same rule is
applied to each input value resulting in the corresponding output values.
First, determine which operation to use.
Each cupcake has a group of 7 candy pieces.
To solve for 6, 8, and 12 groups of 7, use multiplication.
The middle column is added temporarily to show the rule being applied.
| Number of Cupcakes | multiply by number of candies per cupcake | Total Number
of Candy Pieces |
| 6 | 6 × 7 | 42 |
| 8 | 8 × 7 | 56 |
| 12 | 12 × 7 | 84 |
Below is the input-output table for 6, 8, and 12 of Marcy's cupcakes.
MARCY'S CUPCAKES
| Number of Cupcakes | Total Number
of Candy Pieces |
| 6 | 42 |
| 8 | 56 |
| 12 | 84 |
Find a rule that relates the numbers in the first column to the numbers in the second column.
Eric's Work Drive
Number of
Days | rule | Total Number
of Miles |
| 3 | multiply by 11 | 33 |
| 4 | multiply by 11 | 44 |
| 6 | multiply by 11 | 66 |
| 9 | multiply by 11 | 99 |
So, Eric drives 66 miles to work and back over 6 days.
3rd Grade Math - Represent Relationships with Tables Lesson