To find out how many cups of water Katrina drinks in a week, we need to convert the amount she drinks daily from gallons to cups and then multiply by the number of days in a week. Here is the detailed step-by-step process:
1. Katrina drinks 0.5 gallons of water per day.
2. Convert gallons to cups:
- We know that there are 16 cups in 1 gallon.
- So, in one day, Katrina drinks \( 0.5 \) gallons of water.
- To convert gallons to cups, we multiply the amount in gallons by the number of cups per gallon:
[tex]\[
0.5 \text{ gallons/day} \times 16 \text{ cups/gallon} = 8 \text{ cups/day}
\][/tex]
3. Calculate the total number of cups per week:
- There are 7 days in a week.
- To find out the total amount of water she drinks in a week, we multiply the number of cups per 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]
This corresponds to the following option:
[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]
