Question

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the possible combinations of sofa and pillow orders the manager can have?

Answer 1

The last graph is the right one

Answer 2

Option D

Explanation:

We have the following variable definitions:

sofas: x

pillows: y

Pillows come in pairs so we have 2y pillows

The total order for all the possible combinations is:

`x+2y`

The wholesaler requires a minimum of 4 items in each order from its retail customers. This means the retailers can order 4 or more.

Therefore the inequality is:

`x+2y\ge4`

To graph this inequality, we graph the corresponding linear equation,
`x+2y=4` with a solid line and shade above.

The correct choice is D

See attachment