A vacation home in Orlando,Fl rents for $105 per day. The function f (c)= 105x gives the cost of renting the home for x days. What is the domain of this function? A) x greater or equal to x B) 0,1,2,3,… C) 0,105,210,315,… D) all real numbers

Respuesta :

B. 0,1,2,3... 

Domain represents all possible x-values which can be used in the function. Since x gives the number of days the home was rented, you can only have a positive number of days.

Answer:

Option B. [tex]0,1,2,3,...[/tex]

Step-by-step explanation:

Let

x------> the number of days

f(x)----> the cost for renting a home

we know that

[tex]f(x)=105x[/tex]  -----> is a linear direct variation

The range of the function is all real positive numbers

The domain of the function is All positive integers numbers (remember that the day can not be a fraction)

therefore

the domain is the interval---------> [tex]0,1,2,3,...[/tex]