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?
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?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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?
---
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6aa82dbe-8c8b-4996-9a13-eb9c20d088fb%2Fb4f37e3d-b099-4793-a984-2a72293ed960%2Fttuhdlh_processed.jpeg&w=3840&q=75)
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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