Joanne drives a tour bus in Hollywood that can hold up to 10 passengers. She charges each passenger $15 dollars to ride. What is a reasonable domain for this scenario (see graph at right)?

Question

Joanne drives a tour bus in Hollywood that can hold up to 10 passengers. She charges each passenger $15 dollars to ride. What is a reasonable domain for this scenario (see graph at right)?

Answer 1

In this scenario, we are considering the number of passengers that Joanne can accommodate on her tour bus. The bus has a maximum capacity of 10 passengers. Therefore, the number of passengers can be represented as a whole number between 0 and 10, inclusive.

A reasonable domain for the number of passengers \(x\) can be represented as:

\[ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} \]

Alternatively, in interval notation, the domain can be expressed as:

\[ [0, 10] \]

This indicates that Joanne can have anywhere from 0 to 10 passengers.