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The table shows a linear relationship between the average weight of a baby (in ounces) and the age of the baby (in weeks). The goal is to find the rate of change of the average weight of the baby with respect to the baby's age.

In a linear relationship, the rate of change is the **slope**, which can be calculated using the formula:

\[
\text{Slope} = \frac{\Delta y}{\Delta x} = \frac{\text{Change in Weight}}{\text{Change in Week}}
\]

We can pick two points from the table to calculate the slope. Let's use the data from **Week 1** and **Week 12**:

- Week 1: Weight = 84 oz
- Week 12: Weight = 150 oz

Now calculate the slope:

\[
\text{Slope} = \frac{150 - 84}{12 - 1} = \frac{66}{11} = 6
\]

Thus, the rate of change of the baby's average weight with respect to the age is **6 ounces per week**.

Would you like more details or have any questions?

### Here are 5 related questions:
1. How would the rate of change differ if the relationship were not linear?
2. Can you use the rate of change to predict the baby’s weight at week 15?
3. How would you express the linear equation for this relationship?
4. What does the y-intercept represent in this scenario?
5. Can we assume this growth rate continues indefinitely?

**Tip:** When solving for the rate of change in linear relationships, always ensure that the quantities used for change are consistent.

What is the rate of change of the average weight of the baby in ounces with respect to the age of the baby in weeks?

This problem involves calculating the rate of change of a baby’s average weight over time using a linear relationship. Learn how to use the slope formula to find the rate of change between the baby's weight and age. Suitable for students in Grades 7-9.

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