Answer:
[tex]P=-2.54n[/tex].
Step-by-step 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 [tex]y=kx[/tex], where y is directly proportional to x ad k is constant of variation.
Upon substituting our given variables, we will get:
[tex]P=kn[/tex]
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.
[tex]-190.50=k\cdot 75[/tex]
[tex]\frac{-190.50}{75}=\frac{k\cdot 75}{75}[/tex]
[tex]k=-2.54[/tex]
Therefore, our required equation would be [tex]P=-2.54n[/tex].
