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)?
(1 point)
A. \(\left\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\right\}\)
B. \(\left\{15,\ 30,\ 45,\ 60,\ 75,\ 90,\ 105,\ 120,\ 135,\ 150\right\}\)
C. \(0\le x\le10\)
D. \(\left\{1,\ 15,\ 2,\ 30,\ 45,\ 60,\ 5,\ 75,\ 90,\ 105\right\}\

Answer 1

In this scenario, the reasonable domain represents the number of passengers that Joanne's bus can accommodate. Since the bus can hold up to 10 passengers and cannot have a negative number of passengers, we are looking for a set of values that includes all whole numbers from 0 to 10.

Let's analyze the options:

A. \(\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\}\) - This set includes all integer values from 0 to 10, which is suitable.

B. \(\{15,\ 30,\ 45,\ 60,\ 75,\ 90,\ 105,\ 120,\ 135,\ 150\}\) - This set lists only amounts of money, which does not represent the number of passengers.

C. \(0\le x\le10\) - This is a continuous interval that includes all numbers from 0 to 10 (including decimals), but since we are counting passengers, we need whole numbers.

D. \(\{1,\ 15,\ 2,\ 30,\ 45,\ 60,\ 5,\ 75,\ 90,\ 105\}\) - This set does not represent a logical count of passengers, and also includes irrelevant values (15, 30, etc.) that don't match passenger counts.

Given this analysis, the best answer for the reasonable domain of the number of passengers is:

**A. \(\{0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 10\}\)**.