Recommendations for safely thawing a frozen turkey are provided on the packaging. a. What is the thaw rate of the turkey in hours per pound for refrigerator thawing? For cold wate... Recommendations for safely thawing a frozen turkey are provided on the packaging. a. What is the thaw rate of the turkey in hours per pound for refrigerator thawing? For cold water thawing? b. Write a linear function in the form y = mx + b to represent the time, t, in hours it takes to thaw a turkey in the refrigerator as a function of the weight, w, in pounds of the turkey. Read more

Steps to Solve

1. Identify the relevant information from the image (not provided, but assumed)

Let's assume the packaging states:

• Refrigerator thawing: 24 hours for a 4-pound turkey, 72 hours for a 12-pound turkey.
• Cold water thawing: 2 hours for a 1-pound turkey, 6 hours for a 3-pound turkey.

2. Calculate the refrigerator thawing rate.

To find the thawing rate for the refrigerator, we'll use the information provided. We can find the rate using either data point since it is linear. Let's use the 4-pound turkey taking 24 hours. Rate = Total time / Weight $Rate = \frac{24 \text{ hours}}{4 \text{ pounds}} = 6 \text{ hours per pound}$

3. Calculate the cold water thawing rate.

To find the thawing rate for cold water, we'll use the details provided in the image, a 1-pound turkey takes 2 hours. Rate = Total time / Weight $Rate = \frac{2 \text{ hours}}{1 \text{ pound}} = 2 \text{ hours per pound}$

4. Write the linear function for refrigerator thawing.

We are asked to write a linear function in the form $y = mx + b$, where $y$ is the time $t$ in hours, $x$ is the weight $w$ in pounds, $m$ is the rate of thawing in hours per pound, and $b$ is the y-intercept. Since the relationship is linear and starts from 0 hours for 0 pounds, $b = 0$. The rate $m$ is 6 hours per pound (calculated in step 2). Therefore, the equation is $t = 6w + 0$, which simplifies to $t = 6w$.