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.
*
10 points

A

B

C

D

Answer 1

To determine the correct answer choices, we first need to find the rate of pickles per jar. The family packs 80 pickles in 5 jars.

To find the number of pickles per jar:

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

This means for every jar, there are 16 pickles. Now we can create a table where \( x \) is the number of jars and \( y \) is the number of pickles:

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

From this table, we can derive the relationship between \( x \) and \( y \):

\[
y = 16x
\]

Now we can check the answer choices. **We are looking for two correct answers** that reflect this relationship. Possible answers could be:

1. A linear equation in the form \( y = 16x \).
2. Specific pairs of \( (x, y) \) based on our table, such as \( (2, 32) \) or \( (5, 80) \).

To select the correct answer choices, you will need to compare with the provided options A, B, C, and D. Look for those that match the equation or specific pairs drawn from the table.

Please provide the answer choices (A, B, C, D) so I can assist you in determining which are correct.