Question

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

Answer 1

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 2

Option B.
`0,1,2,3,...`

Explanation:

Let

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

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

we know that

`f(x)=105x` -----> 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--------->
`0,1,2,3,...`