It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?

To find out the change in the amount of water in the canteen every 10 minutes, first, we need to determine how many 10-minute intervals are there in an hour.

Since there are 60 minutes in an hour, and each interval is 10 minutes long, there are 60/10 = <<60/10=6>>6 intervals in an hour.

If hikers are recommended to drink 24 ounces of water per hour and there are 6 intervals in an hour, then the amount of water in the canteen should decrease by 24/6 = <<24/6=4>>4 ounces every 10 minutes. Answer: \boxed{4}.

To determine how much the amount of water in the canteen should change every 10 minutes, you need to calculate the water consumption rate per minute. Given that hikers are recommended to drink 24 ounces of water per hour, you can find the water consumption rate like this:

24 ounces/hour ÷ 60 minutes/hour = 0.4 ounces/minute

Therefore, the amount of water in the canteen should change by 0.4 ounces every 10 minutes.