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?(1 point)

Question

Responses

0.4 ounces
0.4 ounces

4 ounces
4 ounces

−4 ounces

−0.4 ounces

Answer 1

To determine how much the amount of water should change every 10 minutes, we start with the recommendation of drinking 24 ounces of water per hour.

1. There are 60 minutes in an hour, so the rate of water consumption is: \[ \frac{24 \text{ ounces}}{60 \text{ minutes}} = 0.4 \text{ ounces per minute} \]

2. Over a 10-minute period, the amount of water consumed would be: \[ 0.4 \text{ ounces/minute} \times 10 \text{ minutes} = 4 \text{ ounces} \]

3. Since the water amount in the canteen is decreasing as it is consumed by the hiker, the change in the amount of water in the canteen every 10 minutes is: \[ -4 \text{ ounces} \]

Thus, the amount of water in the canteen should change by −4 ounces every 10 minutes.