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

Answer:

$P=-2.54n$.

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 $y=kx$, 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.

$-190.50=k\cdot 75$

$\frac{-190.50}{75}=\frac{k\cdot 75}{75}$

$k=-2.54$

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