Question

On each necklace Gabby makes, there are 3 more purple beads than silver

beads.
Let s represent the number of silver beads and p represent the number of purple
beads.
Complete the table using the equation p = s + 3.

Answer 1

see the explanation

Explanation:

Let

s ---> represent the number of silver beads

p ---> represent the number of purple beads.

we know that

On each necklace Gabby makes, there are 3 more purple beads than silver

beads.

so

The linear equation that model this situation is given by

`p=s+3`

To create a table, assume different values of s and solve for p

so

1) For s=1

substitute in the linear equation and solve for p

`p=1+3=4`

1) For s=2

substitute in the linear equation and solve for p

`p=2+3=5`

3) For s=3

substitute in the linear equation and solve for p

`p=3+3=6`

4) For s=4

substitute in the linear equation and solve for p

`p=4+3=7`

5) For s=5

substitute in the linear equation and solve for p

`p=5+3=8`

therefore

The table is

`\left[\begin{array}{ccc}s&p\\1&4\\2&5\\3&6\\4&7\\5&8\end{array}\right]`