In order to determine how many cups of water Katrina drinks in a week, we need to consider the daily amount she drinks, the conversion between gallons and cups, and the number of days in a week. Let's break down the components of our calculation:
1. Katrina drinks 0.5 gallons of water per day.
2. We know there are 16 cups in a gallon.
3. There are 7 days in a week.
To find the weekly consumption in cups, we follow these steps:
- Convert gallons to cups: [tex]\(\text{0.5 gallons per day} \times \text{16 cups per gallon}\)[/tex]
- Calculate for the entire week: [tex]\((0.5 \times 16) \text{ cups per day} \times 7 \text{ days per week}\)[/tex]
So the expression we need to find is:
[tex]\[ \frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{7 \text{ days}}{1 \text{ week}} \][/tex]
Thus, the correct answer is:
[tex]\[
\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{7 \text{ days}}{1 \text{ week}}
\][/tex]
