Question

Mitchell's family is slow cooking g * 2 3/4 pounds of meat. The recipe says to cook the meat 1½ 2 hours per pound.

How long should Mitchell's family cook the meat?

A 0.1 * 5/6 hours

3.2 * 3/8 hours

OC. 4 hours

OD. 4 1/4 hours

Answer 1

To determine how long Mitchell's family should cook the meat, we first need to find out the total cooking time based on the weight of the meat and the cooking time per pound.

1. **Weight of meat:** 2 3/4 pounds = \( \frac{11}{4} \) pounds (since \( 2 \times 4 + 3 = 11 \))

2. **Cooking time per pound:** 1½ to 2 hours per pound = (1.5 to 2 hours)

Now we calculate the total cooking time using both the minimum and maximum cooking time per pound.

**Minimum cooking time:**
\[
\text{Minimum time} = \frac{11}{4} \text{ pounds} \times 1.5 \text{ hours/pound} = \frac{11 \times 1.5}{4} = \frac{16.5}{4} = 4.125 \text{ hours}
\]

**Maximum cooking time:**
\[
\text{Maximum time} = \frac{11}{4} \text{ pounds} \times 2 \text{ hours/pound} = \frac{11 \times 2}{4} = \frac{22}{4} = 5.5 \text{ hours}
\]

Thus, the cooking time for 2 3/4 pounds of meat should be between 4.125 hours and 5.5 hours.

Now, we can compare 4.125 hours to the answer choices provided:

- A. 0.1 * 5/6 hours (This is approximately 0.083 hours, which is very small)
- B. 3.2 * 3/8 hours (This is approximately 1.2 hours, which is also too small)
- C. 4 hours (This is below the minimum cooking time of 4.125 hours)
- D. 4 1/4 hours (This is equal to 4.25 hours, which falls within our cooking time range)

The best answer is:
**D. 4 1/4 hours**