Question

a campground charges $30 for 2 people plus $4 for each additional person . the total amount owed is given by f(x) = 30 + 4x where x is the number of additional people. graph this function and give its domain

Answer 1

The domain of the function:

$f(x)= 30+4x$

Is the whole real set. This means that the domain is :

domf=(-∞,∞)

This comes from the fact that the functions is a polynomial. Nevertheless, given that x represents the number  of people, in the context of the problem the domain has to be :

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domf= (0,∞)

The graph of the function is