Question

which domain would be the most appropriate set to use for a function that predicts the number of chairs needed based on the number of people attending an event?
whole numbers
irrational numbers
rational numbers
all real numbers
pregunta 13
2 puntos
the graph below shows a function. based on this graph, is x=-2 in the domain of the function?
graph omitted
yes, because the graph includes a point at x=-2
yes, because the domain of the function is all real numbers
no, because there is an open circle at x=2
no, because the graph does not cross the x - axis at x=-2
pregunta 14
2 puntos
eloise works between 28 and 30 hours per week at a hair salon. she pays a one - time $200 chair rental fee, and earns $40 per hour that she works. the hours she works are rounded to the nearest quarter hour.
the function p(h)=40h - 200 represents eloise’s weekly pay as a function of hours worked.
what is the domain of the function?
28 - 30
28, 29, 30
28, 28.5, 29, 29.5, 30
28, 28.25, 28.5, 28.75, 29, 29.25, 29.5, 29.75, 30
pregunta 15

Explanation:

Pregunta 12

Step1: Analizar el contexto

El número de personas es un entero no negativo, ya que no puede haber una fracción de persona ni personas negativas. Los números enteros no negativos son los números enteros (Whole Numbers).

Pregunta 13

Step1: Revisar el gráfico

El gráfico tiene un punto cerrado en $x=-2$, lo que significa que el valor $x=-2$ está definido en la función, por lo tanto pertenece al dominio.

Pregunta 14

Step1: Entender el redondeo

Las horas se redondean al cuarto de hora más cercano, es decir, en incrementos de $0.25$. El rango es de 28 a 30 horas, así que los valores posibles son todos los números entre 28 y 30 en pasos de 0.25.

Answer:

Pregunta 12: Whole Numbers
Pregunta 13: Yes, because the graph includes a point at x=-2
Pregunta 14: 28, 28.25, 28.5, 28.75, 29, 29.25, 29.5, 29.75, 30