1) At the start of the new year, Adriana finds out that the price of her economics textbook increased from $100 to $120, She along with her classmates plans on purchasing the textbook, but falls from 10 students to 9 students. At the same time, the minimum wage increased from $11.50 to $12.00. What is Adriana's income elasticity?

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1) At the start of the new year, Adriana finds out that the price of her economics textbook increased from $100 to $120. She, along with her classmates, plans on purchasing the textbook, but the number falls from 10 students to 9 students. At the same time, the minimum wage increased from $11.50 to $12.00. What is Adriana’s income elasticity?

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In this scenario, we aim to calculate the income elasticity of demand, which measures how the quantity demanded of a good responds to a change in income.

**Details:**

- **Initial Price of Textbook:** $100
- **New Price of Textbook:** $120
- **Initial Number of Students Purchasing:** 10
- **New Number of Students Purchasing:** 9
- **Initial Minimum Wage:** $11.50
- **New Minimum Wage:** $12.00

**Steps to Calculate Income Elasticity:**

1. **Calculate the Percentage Change in Quantity Demanded:**

   \[
   \text{Percentage Change in Quantity} = \frac{\text{New Quantity} - \text{Initial Quantity}}{\text{Initial Quantity}} \times 100
   \]

2. **Calculate the Percentage Change in Income (Minimum Wage):**

   \[
   \text{Percentage Change in Income} = \frac{\text{New Income} - \text{Initial Income}}{\text{Initial Income}} \times 100
   \]

3. **Income Elasticity of Demand Formula:**

   \[
   \text{Income Elasticity of Demand} = \frac{\text{Percentage Change in Quantity Demanded}}{\text{Percentage Change in Income}}
   \]

Using these formulas, you can determine how sensitive the demand for the textbook is to changes in income, reflecting Adriana's and her classmates' purchasing behavior.
Transcribed Image Text:1) At the start of the new year, Adriana finds out that the price of her economics textbook increased from $100 to $120. She, along with her classmates, plans on purchasing the textbook, but the number falls from 10 students to 9 students. At the same time, the minimum wage increased from $11.50 to $12.00. What is Adriana’s income elasticity? --- In this scenario, we aim to calculate the income elasticity of demand, which measures how the quantity demanded of a good responds to a change in income. **Details:** - **Initial Price of Textbook:** $100 - **New Price of Textbook:** $120 - **Initial Number of Students Purchasing:** 10 - **New Number of Students Purchasing:** 9 - **Initial Minimum Wage:** $11.50 - **New Minimum Wage:** $12.00 **Steps to Calculate Income Elasticity:** 1. **Calculate the Percentage Change in Quantity Demanded:** \[ \text{Percentage Change in Quantity} = \frac{\text{New Quantity} - \text{Initial Quantity}}{\text{Initial Quantity}} \times 100 \] 2. **Calculate the Percentage Change in Income (Minimum Wage):** \[ \text{Percentage Change in Income} = \frac{\text{New Income} - \text{Initial Income}}{\text{Initial Income}} \times 100 \] 3. **Income Elasticity of Demand Formula:** \[ \text{Income Elasticity of Demand} = \frac{\text{Percentage Change in Quantity Demanded}}{\text{Percentage Change in Income}} \] Using these formulas, you can determine how sensitive the demand for the textbook is to changes in income, reflecting Adriana's and her classmates' purchasing behavior.
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