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.

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.