To determine how much the amount of water in the canteen should change every 10 minutes, we first need to find the hourly rate and then convert that rate to a 10-minute rate.
Given that hikers should drink 24 ounces of water per hour, we can find the rate for 10 minutes as follows:
1 hour = 60 minutes 10 minutes = \( \frac{10}{60} \) hours = \( \frac{1}{6} \) hours.
Now, to find out how much water should be consumed in 10 minutes, we calculate:
\[ \text{Water for 10 minutes} = \text{water per hour} \times \frac{1}{6} = 24 \text{ ounces} \times \frac{1}{6} = 4 \text{ ounces}. \]
Since the hikers are drinking this amount, the water in the canteen decreases by this amount.
Thus, the amount of water in the canteen should change by −4 ounces every 10 minutes.
So, the correct response is: −4 ounces.
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