Aaron has two cats, Whiskers and Duchess. He gives each cat a set amount of canned food every day. He gives Whiskers a total of 14 ounces of food every 4 days. This equation describes how many ounces of food, $$ y $$, Aaron gives Duchess every $$ x $$ days: $$ y=3.75 x $$ Which cat receives more food each day? Whiskers How much food would that cat receive in 7 days? ounces

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Let's analyze the information provided to determine which cat receives more food each day and calculate how much that cat would receive in 7 days.

### 1. Determining Daily Food Consumption

**Whiskers:**
- **Total Food Given:** 14 ounces every 4 days.
- **Daily Consumption:** 
  $$
  \frac{14 \text{ ounces}}{4 \text{ days}} = 3.5 \text{ ounces/day}
  $$

**Duchess:**
- **Food Equation:** $$ y = 3.75x $$
  - Here, $$ y $$ is the total ounces of food given every $$ x $$ days.
- **Daily Consumption:** 
  $$
  \frac{y}{x} = \frac{3.75x}{x} = 3.75 \text{ ounces/day}
  $$

### 2. Comparing Daily Consumption

- **Whiskers:** 3.5 ounces/day
- **Duchess:** 3.75 ounces/day

**Conclusion:** Duchess receives more food each day than Whiskers.

### 3. Calculating Food for 7 Days

Since Duchess receives 3.75 ounces per day, the total amount she would receive in 7 days is:

$$
\text{Total Food} = 3.75 \text{ ounces/day} \times 7 \text{ days} = 26.25 \text{ ounces}
$$

**Answer:** Duchess would receive **26.25 ounces** of food in 7 days.
Duchess receives more food each day. In 7 days, Duchess would receive 26.25 ounces of food.

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