Caroline wants to create a fun adventure called "Zoo Explorers." This adventure will have riddles and stops that guide visitors around the zoo. She wants to strike a balance: enough stops for fun but not so many that visitors can't finish in one day.

Question

Without any adventure stops in the zoo, visitors spend an average of 5 hours at the zoo. In a trial run of "Zoo Explorers" with 4 adventure stops, participants stayed for an average of 6 total hours.
In #2, how many adventure stops can Caroline make so that visitors will stay for the full 9 hours that the zoo is open?

16 adventure stops

9 adventure stops

6 adventure stops

12 adventure stops

Answer 1

To determine how many adventure stops Caroline can create so that visitors will stay for 9 hours, we need to analyze the time spent by visitors in relation to the number of stops.

From the information given:

• Without adventure stops, visitors spend 5 hours at the zoo.
• With 4 adventure stops, participants spend an average of 6 hours.

This means that adding 4 adventure stops increased the time spent by 1 hour (from 5 hours to 6 hours).

Let's define the increase in time for each additional adventure stop. The increase in time for 4 stops is 1 hour, which means that each stop adds:

1 hour (increased time) / 4 (stops) = 0.25 hours (15 minutes) per stop.

Next, we can determine how many adventure stops will allow visitors to stay for 9 hours. We start with 5 hours and want to reach 9 hours:

9 hours - 5 hours = 4 hours of additional time needed.

Now, we can calculate how many additional adventure stops are needed to add 4 hours:

4 hours / 0.25 hours per stop = 16 stops.

Thus, Caroline can create 16 adventure stops to make visitors stay for the full 9 hours.

The answer is 16 adventure stops.