the profit earned by a hot dog stand is a linear function of the number of hot dogs sold. it costs the owner…
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 days 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?\ny = 48x - 2\ny = 48x + 2\ny = 2x + 48
Answer
Explanation:
Step1: Identify cost and profit per unit
The cost is a fixed - $48$ (a negative factor in profit calculation as it's an expense) and the profit per hot dog sold is $2$.
Step2: Write the profit formula
The general form of a linear profit function is $y$ (profit) = (profit per unit)$x$- (fixed cost). Here, profit per unit is $2$ and fixed cost is $48$. So the equation is $y = 2x-48$. But looking at the given options, we can also think of it as $y$ (profit)=(profit per unit)$x+$(negative fixed - cost). The profit per hot dog $x$ is $2$ and the fixed cost is $48$ (negative in the profit equation), so $y = 2x-48$ which is equivalent to $y = 2x+( - 48)$.
Answer:
None of the given options are correct. The correct equation is $y = 2x - 48$.