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

1 answer

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

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

Now, if \( y \) is the number of pickles and \( x \) is the number of jars, the relationship can be expressed as:

\[ y = 16x \]

Using this formula, we can create a table to find values for \( x \) (number of jars) and \( y \) (number of pickles):

| x (jars) | y (pickles) | |----------|--------------| | 1 | 16 | | 2 | 32 | | 3 | 48 | | 4 | 64 | | 5 | 80 | | 6 | 96 | | 7 | 112 | | 8 | 128 | | 9 | 144 | | 10 | 160 |

Now, we can check for multiple choice answers that fit the form \( y = 16x \).

The two correct answers will be values where \( y \) is a multiple of 16 up to the maximum packing rate:

  1. \( (1, 16) \)
  2. \( (5, 80) \)

So, looking for combinations of \( (x, y) \) that reflect this relationship will lead to your answers.

Please provide the specific answer choices (A, B, C, D) for me to determine which represent the packing rate specified!