Question

A store's profit P varies directly with the number of items n that they purchase from a warehouse. Greg's gadgets buys 75 Wacky Widgets from Gadget Supply Warehouse. The store's profit for this purchase is -190.50. How do I write a direct variation equation on that.

Answer 1

`P=-2.54n`.

Explanation:

We have been given that a store's profit P varies directly with the number of items n that they purchase from a warehouse.

We know that two proportional quantities are in form
`y=kx`, where y is directly proportional to x ad k is constant of variation.

Upon substituting our given variables, we will get:

`P=kn`

We are also told that Greg's gadgets buys 75 Wacky Widgets from Gadget Supply Warehouse. The store's profit for this purchase is -190.50. Let us find constant of proportionality.

`-190.50=k\cdot 75`

`(-190.50)/(75)=(k\cdot 75)/(75)`

`k=-2.54`

Therefore, our required equation would be
`P=-2.54n`.