Question

Comparing Rate of Change
Razi’s Party Favor Bag Progress

A 2-column table with 5 rows. Column 1 is labeled Time (minutes), x with entries 0, 1, 2, 3, 4. Column 2 is labeled Bags Remaining, y with entries 52, 48, 44, 40, 36.

Seung and Razi are both filling party favor bags for their birthdays at a constant rate. Razi’s progress is shown in the table.

After 3 minutes Seung had 34 bags remaining to be filled, and after 4 minutes he had 31 bags remaining.

Compare Seung and Razi’s bag-filling progress.

Each minute Seung fills
than Razi.

Answer 1

Razi’s rate: (48 − 52)/1 = −4 bags/min → fills 4 bags per minute.
Seung’s rate: (31 − 34)/1 = −3 bags/min → fills 3 bags per minute.
Each minute Seung fills 1 fewer bag than Razi.