A family makes homemade pickles. They pack the pickles at a rate of 80 pickles per 5 jars. Which answer choices best represent packing y pickles in x jars at that rate? Select TWO correct answers. Hint: Find out how many pickles are in each jar. Then make your own table using this info, where x is the number of jars and y is the number of pickles.

Answer 1

To determine how many pickles are in each jar, we divide the number of pickles by the number of jars:

\[ \text{Pickles per jar} = \frac{80 \text{ pickles}}{5 \text{ jars}} = 16 \text{ pickles per jar} \]

Using this information, we can create a table that shows the relationship between the number of jars (x) and the number of pickles (y):

| Jars (x) | Pickles (y) | |----------|-------------| | 1 | 16 | | 2 | 32 | | 3 | 48 | | 4 | 64 | | 5 | 80 | | 6 | 96 | | 7 | 112 | | 8 | 128 |

From our calculation, we can see that the general formula for the number of pickles (y) based on the number of jars (x) is:

\[ y = 16x \]

Now, we can select two correct answers that align with this relationship:

1. For 2 jars (x = 2): \[ y = 16 \times 2 = 32 \text{ pickles} \]

2. For 4 jars (x = 4): \[ y = 16 \times 4 = 64 \text{ pickles} \]

Thus, if the answer options given were based on values indicated by \( y = 16x \), two correct answers that meet this relationship could be:

• (2, 32)
• (4, 64)

These pairs correspond to the appropriate number of jars and pickles based on the established rate of packing.