the profit earned by a hot - dog stand is a linear function of the number of hot dogs sold. it costs the…

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?\no y = 48x - 2\no y = 48x+2\no y = 2x - 48\no y = 2x + 48

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?\no y = 48x - 2\no y = 48x+2\no y = 2x - 48\no y = 2x + 48

Answer

Answer:

C. $y = 2x - 48$

Explanation:

Step1: Identify cost and profit per - unit

The cost is a fixed $48$ dollars (negative in profit equation as it's an expense), and profit per hot - dog is $2$ dollars.

Step2: Write the profit equation

The general form of a linear profit equation is $y=(\text{profit per unit})x-\text{fixed cost}$. Substituting the values, we get $y = 2x-48$, where $x$ is the number of hot - dogs sold and $y$ is the profit.