Elena works at least 4 hours but not more than 8 hours. the amount of money elena earns for working t hours is represented by a function. p(t)=9.5t what is the practical domain of the function? all real numbers from 4 to 8, inclusive. all integers from 4 to 8, inclusive. all real numbers. all multiples of 9.5 between 38 and 76, inclusive

Respuesta :

Answer:

all real numbers from 4 to 8, inclusive


Step-by-step explanation:


Let

t-------> the number of hours

P(t)----> the amount of money Elena earns

we know that

[tex]P(t)=9.5t[/tex]

[tex]t\geq 4\ hours[/tex]

[tex]t \leq 8\ hours[/tex]

so

[tex]4\ hours \leq t \leq 8\ hours[/tex]

The practical domain of the function is the interval----> [tex][4,8][/tex]

that means

all real numbers from  [tex]4[/tex]  to  [tex]8[/tex] , inclusive

therefore

the answer is the option

all real numbers from  [tex]4[/tex]  to  [tex]8[/tex] , inclusive


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