Question

You purchase an item at 50% of the originally marked price, d dollars, with $3.50 shipping. You sell the item for (7d + 4.5). Use formal expressions to show the profit.

Answer 1

To calculate the profit, subtract the cost price from the selling price. The profit is represented by 5d + 1.

Step-by-step explanation:

The profit can be determined by calculating the selling price minus the cost price, including any additional expenses. In this case, the selling price is (7d + 4.5), which represents the amount the item was sold for.

The cost price is the price at which the item was purchased, which is given as d dollars. Since the item was purchased at 50% of the originally marked price, the originally marked price would be 2d dollars.

Therefore, the cost price including shipping is 2d + 3.50 dollars. The profit can be calculated as:

Profit = Selling Price - Cost Price

Profit = (7d + 4.5) - (2d + 3.50)

Simplifying the expression:

Profit = 7d + 4.5 - 2d - 3.50

Profit = 5d + 1

So, the profit is 5d + 1.