The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
To write an equation that represents the profit earned, y, for x hot dogs sold, we need to understand the fixed costs and the variable profits.
The fixed cost is $48. This is the amount the owner has to pay regardless of how many hot dogs are sold. It is a constant.
The variable profit is $2 for each hot dog sold. This means that for every hot dog sold, the owner earns $2 in profit.
To find the total profit, we calculate the total revenue from selling x hot dogs, which is $2 multiplied by x (2x), and then subtract the fixed costs ($48) from the total revenue.
The equation that represents the profit earned (y) is:
y = 2x - 48