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

Explanation:

Step1: Identificar la estructura de la función lineal

La función lineal tiene la forma $y = mx + b$, donde $m$ es la pendiente (ganancia por unidad vendida) y $b$ es el término independiente (costo fijo o ganancia/base sin ventas). Sabemos que gana $2$ dólares por热狗 vendido (pendiente $m = 2$) y tiene un costo inicial de $48$ dólares. El profit $y$ se calcula restando el costo fijo de la ganancia por热狗 vendido. Entonces la ecuación es $y=2x - 48$.

Answer:

$y = 2x-48$