Find the absolute change and the relative change in the following case. The per person consumption of meat in a certain country decreased from 68.8 pounds in 2000 to 52.1 pounds in 2020.

To find the absolute change and relative change in the per person consumption of meat, we follow these steps:

### 1. **Absolute Change**:
The absolute change is the simple difference between the values in 2020 and 2000.

\[
\text{Absolute Change} = \text{Value in 2020} - \text{Value in 2000}
\]
\[
\text{Absolute Change} = 52.1 \, \text{pounds} - 68.8 \, \text{pounds} = -16.7 \, \text{pounds}
\]

Thus, the absolute change is \(-16.7\) pounds (a decrease of 16.7 pounds).

### 2. **Relative Change**:
Relative change is calculated as the absolute change divided by the initial value (the value in 2000), and it's usually expressed as a percentage.

\[
\text{Relative Change} = \frac{\text{Absolute Change}}{\text{Initial Value}} \times 100
\]
\[
\text{Relative Change} = \frac{-16.7}{68.8} \times 100 = -24.27\%
\]

So, the relative change is approximately \(-24.27\%\) (a decrease of about 24.27%).

### Summary:
- **Absolute change**: \(-16.7\) pounds
- **Relative change**: \(-24.27\%\)

Would you like more details or explanations?

### Related Questions:
1. How is absolute change different from relative change?
2. How do we interpret negative values in absolute and relative changes?
3. What are some other contexts where relative change is more meaningful than absolute change?
4. Can we express relative change using other units besides percentage?
5. What could be the reasons behind such a significant drop in meat consumption?

### Tip:
When interpreting changes, the relative change provides a better sense of scale, especially when the absolute values vary widely.

Learn how to calculate the absolute and relative change in meat consumption per person from 2000 to 2020. Understand the difference between absolute change (-16.7 pounds) and relative change (-24.27%) using simple formulas. Suitable for students in Grades 6-8.

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