Nethan made 8 rose bouquets and 6 daffodil bouquets. nethan only has enough flowers to make at most 20 rose or daffodil bouquets total. let x represent the number of more rose bouquets and y represent the number of more daffodil bouquets that nethan can make. show the relationship between x and y graphically.

Nethan made 8 rose bouquets and 6 daffodil bouquets.

Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.

Let x represents the number of more rose bouquets.

Let y represents the number of more daffodil bouquets.

The maximum bouquets that can be made = 20

And the number of bouquets made are = 14

So, additional bouquets are =

In equation form we can show like :

or

or

Putting values of x as 0,2,4 and 6 we get:

When x = 0 then y = 6  

When x = 2 then y = 4

When x = 4 then y = 2

When x = 6 then y = 0

You can see the graph attached.

answer: the common difference is -0.10