Question

A vacation rental company uses the function v(x)=250x+75 to calculate the cost to rent a two bedrooms beach house x number of nights. the maximum number of nights the beach house can be rented is 30. what is the domain of the function.

a.0 ≤ x ≤ 30, where x is a whole number
b.0 < x < 30, where x is a whole number
c.0 ≤ x ≤ 7,575, where x is a whole number

Answer 1

a.0 ≤ x ≤ 30, where x is a whole number

Explanation:

a vacation rental company uses the function v(x)=250x+75

x is the number of nights

maximum number of nights = 30

The number of nights cannot be negative

The domain is the set of x values for which the function is defined

we ignore the negative value for x in the domain because number of nights cannot be negative

so x starts at 0 and maximum is 30

number of nights should be a whole number

0 ≤ x ≤ 30, where x is a whole number