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

−4 ounces
negative 4 ounces

0.4 ounces
0.4 ounces

4 ounces
4 ounces

−0.4 ounces

1 answer

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

Since there are 60 minutes in an hour, we can find the rate per minute by dividing the hourly rate by 60:

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

Next, we find the amount of water consumed in 10 minutes by multiplying the rate per minute by 10:

\[ \text{Water in 10 minutes} = 0.4 \text{ ounces per minute} \times 10 \text{ minutes} = 4 \text{ ounces} \]

Since water is being consumed, this will result in a decrease in the amount of water in the canteen, so we express it as a negative change:

\[ \text{Change in canteen} = -4 \text{ ounces} \]

Thus, the correct response is:

−4 ounces