To determine how many pickles are present in each jar, we can use the given rate of packing:
- 80 pickles in 5 jars
To find the number of pickles per jar, we can divide the total number of pickles by the number of jars:
\[ \text{Pickles per jar} = \frac{80 \text{ pickles}}{5 \text{ jars}} = 16 \text{ pickles per jar} \]
Now that we know there are 16 pickles in each jar, we can express the relationship between the number of jars \( x \) and the number of pickles \( y \). Since each jar contains 16 pickles, we can use the formula:
\[ y = 16x \]
Where:
- \( y \) is the number of pickles
- \( x \) is the number of jars
Now, we can create a table to represent this relationship with some sample values for \( x \) (the number of jars):
| Jars (x) | Pickles (y) | |----------|-------------| | 1 | 16 | | 2 | 32 | | 3 | 48 | | 4 | 64 | | 5 | 80 | | 6 | 96 |
From this table, we can derive different answers based on the equation \( y = 16x \).
Now, let’s check the possible answer choices that might be represented by this scenario. We should look for options that satisfy the equation \( y = 16x \) or values derived from the table.
Sample Correct Answer Choices:
- \( x = 2 \) jars would give \( y = 32 \) pickles (since \( 2 \times 16 = 32 \))
- \( x = 4 \) jars would give \( y = 64 \) pickles (since \( 4 \times 16 = 64 \))
Thus, the two correct answers representing packing \( y \) pickles in \( x \) jars at that rate would be a scenario involving, for example, 2 jars yielding 32 pickles and 4 jars yielding 64 pickles. Any answer choices that follow this pattern will also be correct.
2 answers