katrina drinks 0.5 gallons of water per day. which expression shows how to find the number of cups of water…

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. \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{1 \text{ week}}{7 \text{ days}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{1 \text{ gallon}}{16 \text{ cups}} \times \frac{7 \text{ days}}{1 \text{ week}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{1 \text{ gallon}}{16 \text{ cups}} \times \frac{1 \text{ week}}{7 \text{ days}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{7 \text{ days}}{1 \text{ week}}$

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. \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{1 \text{ week}}{7 \text{ days}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{1 \text{ gallon}}{16 \text{ cups}} \times \frac{7 \text{ days}}{1 \text{ week}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{1 \text{ gallon}}{16 \text{ cups}} \times \frac{1 \text{ week}}{7 \text{ days}}$ \n$\frac{0.5 \text{ gallons}}{1 \text{ day}} \times \frac{16 \text{ cups}}{1 \text{ gallon}} \times \frac{7 \text{ days}}{1 \text{ week}}$

Answer

Explanation:

Step1: Analyze the daily - gallon to cup conversion

We know Katrina drinks 0.5 gallons per day and there are 16 cups in a gallon. So the number of cups per day is $\frac{0.5\text{ gallons}}{1\text{ day}}\times\frac{16\text{ cups}}{1\text{ gallon}}$.

Step2: Analyze the weekly - cup calculation

To find the number of cups in a week (7 days), we multiply the number of cups per day by the number of days in a week. So we multiply the previous result by $\frac{7\text{ days}}{1\text{ week}}$. The correct expression is $\frac{0.5\text{ gallons}}{1\text{ day}}\times\frac{16\text{ cups}}{1\text{ gallon}}\times\frac{7\text{ days}}{1\text{ week}}$.

Answer:

$\frac{0.5\text{ gallons}}{1\text{ day}}\times\frac{16\text{ cups}}{1\text{ gallon}}\times\frac{7\text{ days}}{1\text{ week}}$