Question

The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite this expression using the distributive property. What is the profit for 25 products sold and 150 products sold?

Answer 1

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

Step-by-step explanation

The profit of a company receives is given by the expression:
`0.15(855p - 315)`

Simplifying this expression using distributive property, we will get .....

`0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25`

So, the simplified expression for profit will be:
`128.25p-47.25`

As
`p` represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, we need plug
`p=25` and
`p=150` separately into the above expression.

For
`p=25`, Profit
`=128.25(25)-47.25 = 3206.25-47.25= 3159`

For
`p=150`, Profit
`=128.25(150)-47.25 = 19237.50-47.25= 19190.25`