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

Answer:

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.