Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?

There are 16 cups in a gallon.

A. [tex]$\frac{0.5 \text { gallons }}{1 \text { day }} \times \frac{16 \text { cups }}{1 \text { gallon }} \times \frac{1 \text { week }}{7 \text { days }}$[/tex]

B. [tex]$\frac{0.5 \text { gallons }}{1 \text { day }} \times \frac{1 \text { gallon }}{16 \text { cups }} \times \frac{7 \text { days }}{1 \text { week }}$[/tex]

C. [tex]$\frac{0.5 \text { gallons }}{1 \text { day }} \times \frac{1 \text { gallon }}{16 \text { cups }} \times \frac{1 \text { week }}{7 \text { days }}$[/tex]

D. [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]



Answer :

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]