### Educational Website Content**Problem 4:**The tax rate increased from 19% to 27%.a. What is the absolute change in percentage points?b. What is the relative change?---**Problem 5:**What is the relative change in the value of a coin if the value was $5.10 in the year 2000 and $6.43 in the year 2012?---**Problem 6:**What is the relative change in gas prices if the price of gas went from $3.59 to $3.43?---### Explanation**Absolute Change:**Absolute change refers to the simple difference between the initial and final values without any consideration of relative or proportional factors. For instance, if a tax rate increased from 19% to 27%, the absolute change is found by subtracting the initial value from the final value.**Relative Change:**Relative change helps in understanding how significant a change is in comparison to the original value. It's often expressed as a percentage. To calculate relative change, you divide the difference between the new and original values by the original value, and then multiply by 100 to get a percentage.No graphs or diagrams are included in the image for further explanation.

Answered: Image /qna-images/answer/4263904b-8af3-45ba-a78c-ccb2be01079e.jpg

The tax rate increased from 19% to 27%. . What is the absolute change in percentage points? b. What is the relative change? 5 What is the relative change in the value of a coin if the value was $5.10 in year 2000 and S6.43 in year 2012? What is the relative change in gas prices if the price of gas went from $3.59 to $3.437

The tax rate increased from 19% to 27%. . What is the absolute change in percentage points? b. What is the relative change? 5 What is the relative change in the value of a coin if the value was $5.10 in year 2000 and S6.43 in year 2012? What is the relative change in gas prices if the price of gas went from $3.59 to $3.437

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

### Educational Website Content

**Problem 4:**

The tax rate increased from 19% to 27%.

a. What is the absolute change in percentage points?

b. What is the relative change?

---

**Problem 5:**

What is the relative change in the value of a coin if the value was $5.10 in the year 2000 and $6.43 in the year 2012?

---

**Problem 6:**

What is the relative change in gas prices if the price of gas went from $3.59 to $3.43?

---

### Explanation

**Absolute Change:**
Absolute change refers to the simple difference between the initial and final values without any consideration of relative or proportional factors. For instance, if a tax rate increased from 19% to 27%, the absolute change is found by subtracting the initial value from the final value.

**Relative Change:**
Relative change helps in understanding how significant a change is in comparison to the original value. It's often expressed as a percentage. To calculate relative change, you divide the difference between the new and original values by the original value, and then multiply by 100 to get a percentage.

No graphs or diagrams are included in the image for further explanation.

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