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)

Responses

−0.4 ounces
negative 0.4 ounces

−4 ounces
negative 4 ounces

0.4 ounces
0.4 ounces

4 ounces

1 answer

To determine how much the amount of water in the canteen should change every 10 minutes, we can start by looking at the recommended rate of water consumption, which is 24 ounces per hour.

1 hour is equal to 60 minutes. If hikers are supposed to drink 24 ounces in 60 minutes, we can find the rate per minute:

\[ \text{Rate per minute} = \frac{24 \text{ ounces}}{60 \text{ minutes}} = 0.4 \text{ ounces per minute} \]

Now, to find out how much water should be consumed in 10 minutes:

\[ \text{Change in 10 minutes} = 0.4 \text{ ounces/minute} \times 10 \text{ minutes} = 4 \text{ ounces} \]

Since the amount of water in the canteen is decreasing as it is consumed, the change would be negative:

So, the amount of water in the canteen should change by:

−4 ounces

The correct response is: −4 ounces