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Let's break down the information provided in the table and solve each part of the question step-by-step.

The formula for GDP (Gross Domestic Product) is:
\[
\text{GDP} = C + I + G + (X - IM)
\]
where:
- \( C \) is consumption,
- \( I \) is investment,
- \( G \) is government spending,
- \( X - IM \) is net exports (exports minus imports).

### Given Data:
For **2008**:
- GDP = 90
- \( C = 50 \)
- \( G = 10 \)
- \( X - IM = -10 \)

For **2009**:
- GDP = 80
- \( I = 10 \)
- \( G = 10 \)
- \( X - IM = 10 \)

### Part (a): Find the amount invested in the year 2008.

Using the GDP formula for 2008:
\[
90 = 50 + I + 10 - 10
\]
Simplify this to solve for \( I \):
\[
90 = 50 + I + 0
\]
\[
I = 90 - 50 = 40
\]
So, the investment (\( I \)) in 2008 is **40**.

### Part (b): What was the amount consumed for the year of 2009?

Using the GDP formula for 2009:
\[
80 = C + 10 + 10 + 10
\]
Simplify this to solve for \( C \):
\[
80 = C + 30
\]
\[
C = 80 - 30 = 50
\]
So, the consumption (\( C \)) in 2009 is **50**.

### Part (c): Explain the growth rate of investment and consumption for both of these two years.

To find the growth rate, use the formula:
\[
\text{Growth Rate} = \frac{\text{Value in 2009} - \text{Value in 2008}}{\text{Value in 2008}} \times 100\%
\]

#### Growth Rate of Investment:
- Investment in 2008 = 40
- Investment in 2009 = 10
\[
\text{Growth Rate of Investment} = \frac{10 - 40}{40} \times 100\% = \frac{-30}{40} \times 100\% = -75\%
\]
So, the investment decreased by **75%** from 2008 to 2009.

#### Growth Rate of Consumption:
- Consumption in 2008 = 50
- Consumption in 2009 = 50
\[
\text{Growth Rate of Consumption} = \frac{50 - 50}{50} \times 100\% = 0\%
\]
So, there was **no growth** in consumption from 2008 to 2009.

### Summary of Answers:
- **(a)** Investment in 2008: **40**
- **(b)** Consumption in 2009: **50**
- **(c)** Growth Rate of Investment: **-75%**, Growth Rate of Consumption: **0%**

Would you like further details on any part of this solution?

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Here are 5 related questions to deepen your understanding:
1. How would changes in net exports affect GDP if other components remain constant?
2. How is the growth rate of GDP calculated if GDP data for multiple years is available?
3. Why might a country experience negative growth in investment?
4. What economic factors could lead to a constant consumption level despite changes in GDP?
5. How would an increase in government spending impact GDP under this formula?

**Tip:** Always verify each component when using the GDP formula, as small changes in one variable can affect the total significantly.

Find the amount invested in the year of 2008. What was the amount consumed for the year of 2009? Explain the growth rate of investment and consumption for both of these two years.

Learn how to calculate the investment for 2008 and consumption for 2009 using GDP data. Understand the growth rate of investment and consumption from 2008 to 2009 with a detailed step-by-step solution. This exercise is suitable for high school students in Grades 11-12 studying economics.

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