Question

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.

Answer 1

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 =
`20-14=6`

In equation form we can show like :

`x +y= 6`

or
`y=6 -x`

or
`x=6- y`

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.