Sure, let's go through the process step-by-step to understand how to find the number of cups of water Katrina drinks in a week.
First, we need to convert the amount of water Katrina drinks from gallons to cups. We know that:
- Katrina drinks 0.5 gallons of water per day.
- There are 16 cups in 1 gallon.
To convert gallons to cups, we multiply the number of gallons by the number of cups per gallon:
[tex]\[
\text{cups per day} = 0.5 \, \text{gallons/day} \times 16 \, \text{cups/gallon} = 8 \, \text{cups/day}
\][/tex]
Now, we need to find out how many cups of water she drinks in a week. We know that:
- There are 7 days in a week.
We multiply the number of cups per day by the number of days in a week:
[tex]\[
\text{cups per week} = 8 \, \text{cups/day} \times 7 \, \text{days/week} = 56 \, \text{cups/week}
\][/tex]
Therefore, the correct expression 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 expression correctly converts gallons to cups and then multiplies by the number of days in a week to get the total number of cups Katrina drinks in a week.
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]
