Certainly! Let’s work through the problem step-by-step:
1. Understanding the units involved:
- Katrina drinks 0.5 gallons of water per day.
- There are 16 cups in one gallon.
- We need to find the number of cups she drinks in a week.
2. Convert gallons per day to cups per day:
- Since there are 16 cups in one gallon, we multiply the gallons Katrina drinks per day by the number of cups in one gallon.
- [tex]\(0.5 \text{ gallons/day} \times 16 \text{ cups/gallon} = 8 \text{ cups/day}\)[/tex].
3. Convert cups per day to cups per week:
- There are 7 days in a week, so we multiply the number of cups she drinks in a day by the number of days in a week.
- [tex]\(8 \text{ cups/day} \times 7 \text{ days/week} = 56 \text{ cups/week}\)[/tex].
Therefore, the correct expression that shows how to find the number of cups of water Katrina drinks in a week 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]
So, the correct choice 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]
