When finding the percent, round to the nearest tenth of a percent when necessary. At the beginning of a trip, a tire on an automobile has a pressure of 32 psi (Ib/in). At the end of the trip, the pressure is 37 psi. What is the percent increase in pressure? % Need Help? Read It

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Title: Calculating Percent Increase in Tire Pressure**

**Instructions:**
When finding the percent, round to the nearest tenth of a percent when necessary.

**Problem:**
At the beginning of a trip, a tire on an automobile has a pressure of 32 psi (lb/in²). At the end of the trip, the pressure is 37 psi. What is the percent increase in pressure?

__________ %

**Hint:**
Need Help? [Read It Button]

---

**Understanding the Problem:**
To find the percent increase, use the formula for percent change:

\[
\text{Percent Increase} = \left(\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}}\right) \times 100
\]

**Steps to Solve:**
1. Identify the original and new values of the tire pressure.
2. Subtract the original value from the new value.
3. Divide the difference by the original value.
4. Multiply the result by 100 to get the percentage.
5. Round to the nearest tenth.

**Example Calculation:**
Original Pressure = 32 psi  
New Pressure = 37 psi  

Calculate the difference:
\[ 37 - 32 = 5 \]

Calculate the percent increase:
\[ \left(\frac{5}{32}\right) \times 100 = 15.625\% \]

Round to the nearest tenth:
\[ 15.6\% \]

**Final Answer:**
The percent increase in pressure is 15.6%. 

Use this method whenever you need to determine the percentage increase or decrease in a value, ensuring to round properly as instructed.
Transcribed Image Text:**Title: Calculating Percent Increase in Tire Pressure** **Instructions:** When finding the percent, round to the nearest tenth of a percent when necessary. **Problem:** At the beginning of a trip, a tire on an automobile has a pressure of 32 psi (lb/in²). At the end of the trip, the pressure is 37 psi. What is the percent increase in pressure? __________ % **Hint:** Need Help? [Read It Button] --- **Understanding the Problem:** To find the percent increase, use the formula for percent change: \[ \text{Percent Increase} = \left(\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}}\right) \times 100 \] **Steps to Solve:** 1. Identify the original and new values of the tire pressure. 2. Subtract the original value from the new value. 3. Divide the difference by the original value. 4. Multiply the result by 100 to get the percentage. 5. Round to the nearest tenth. **Example Calculation:** Original Pressure = 32 psi New Pressure = 37 psi Calculate the difference: \[ 37 - 32 = 5 \] Calculate the percent increase: \[ \left(\frac{5}{32}\right) \times 100 = 15.625\% \] Round to the nearest tenth: \[ 15.6\% \] **Final Answer:** The percent increase in pressure is 15.6%. Use this method whenever you need to determine the percentage increase or decrease in a value, ensuring to round properly as instructed.
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