a video game arcade offers a yearly membership with reduced rates for game play. a single membership costs…

a video game arcade offers a yearly membership with reduced rates for game play. a single membership costs $60 per year. game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? select three answers. the slope of the function is $1.00. the y - intercept of the function is $60. the function can be represented by the equation y = \\frac{1}{10}x + 60. the domain is all real numbers. the range is {y| y ≥ 60}.

a video game arcade offers a yearly membership with reduced rates for game play. a single membership costs $60 per year. game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? select three answers. the slope of the function is $1.00. the y - intercept of the function is $60. the function can be represented by the equation y = \\frac{1}{10}x + 60. the domain is all real numbers. the range is {y| y ≥ 60}.

Answer

Answer:

  • The $y$-intercept of the function is $$60$.
  • The function can be represented by the equation $y=\frac{1}{10}x + 60$.
  • The range is ${y|y\geq60}$.

Explanation:

Step1: Analizar la estructura de la función lineal

La membresía anual cuesta $$60$, que es el valor fijo (intersección con el eje $y$).

Step2: Calcular el costo por token

El costo es de $$1$ por 10 tokens, entonces el costo por token es $\frac{1}{10}$ dólares, que es la pendiente. La función es $y=\frac{1}{10}x + 60$.

Step3: Determinar el rango

Como el costo mínimo es la membresía de $$60$ y aumenta según los tokens comprados, el rango es $y\geq60$.