Question

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. use formulas

Answer 1

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:
1. **\( x = 2 \) jars would give \( y = 32 \) pickles** (since \( 2 \times 16 = 32 \))
2. **\( x = 4 \) 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.