Question

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 (blank) than Razi.
Options for blank:
one less bag
one more bag
six less bags
six more bags

Answer 1

Answer:

Each minute Seung fills one less bag than Razi.

Step-by-step explanation:

Find the rate of change.

Razi's rate of change:

$\dfrac{y(b)-y(a)}{b-a}\\ \\=\dfrac{y(2)-y(1)}{2-1}\\ \\=\dfrac{44-48}{2-1}\\ \\=\dfrac{-4}{1}\\ \\=-4$

Seung's rate of change:

$\dfrac{y(b)-y(a)}{b-a}\\ \\=\dfrac{y(4)-y(3)}{4-3}\\ \\=\dfrac{31-34}{4-3}\\ \\=\dfrac{-3}{1}\\ \\=-3$

This means Razi packs 4 bags per minute, Seung packs 3 bags per minute.

Difference = 4 - 3 = 1 bag

Each minute Seung fills one less bag than Razi.

Answer 2

Answer:Each minute Seung fills one less bag than Razi.

Step-by-step explanation:

your welcome