Question
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.
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
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
Answers
GPT-4o mini
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**.
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**.