On April 5th, you had to fill up your tank. You bought 12.2 gallons for $4.42/gallon. How much did you spend on gas? On April 14th, you had to fill up your tank. You bought 14.5 gallons for $4.51/gallon. How much did you spend on gas? What was the percent of change, to the nearest tenth, for the price of gas from the 5th until the 14th? In May, you filled up twice. On May 3rd you spent $55.00 and on May 22nd you spent $52.00. If you bought 12 gallons for $55.00, how much did you pay per gallon?. The second time you bought 11.5 gallons for a total of 23.5 gallons in the second month. You drove 539 miles on 23.5 gallons. How many miles per gallons did you get? Make sure you record your gas purchases on your bank register.

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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### Gas for Your Car:

**Scenario 1:**
- **Date:** April 5th
- **Details:** You had to fill up your tank. You bought 12.2 gallons for $4.42/gallon.
- **Question:** How much did you spend on gas?
  
**Calculation:**  
$$ 12.2 \text{ gallons} \times \$4.42/\text{gallon} = \$53.92 $$

- **Answer:** _______________

**Scenario 2:**
- **Date:** April 14th
- **Details:** You had to fill up your tank. You bought 14.5 gallons for $4.51/gallon.
- **Question:** How much did you spend on gas?
  
**Calculation:**
$$ 14.5 \text{ gallons} \times \$4.51/\text{gallon} = \$65.395 \approx \$65.40 $$

- **Answer:** _______________

**Price Change Calculation:**
- **Question:** What was the percent change, to the nearest tenth, for the price of gas from the 5th to the 14th?
  
**Calculation:**
$$ \frac{\$4.51 - \$4.42}{\$4.42} \times 100 = \frac{0.09}{4.42} \times 100 \approx 2.0\% $$

- **Answer:** ____________

**May Gas Purchases:**

**Details:**
- **Date:** May 3rd
- **Expense:** $55.00
- **Date:** May 22nd
- **Expense:** $52.00

**Gallons Calculation:**
- **Question:** If you bought 12 gallons for $55.00, how much did you pay per gallon?
  
**Calculation:**
$$ \$55.00 \div 12 \text{ gallons} = \$4.58/\text{gallon} $$

- **Answer:** __________________

**Efficiency Calculation:**
- **Details:** The second time you bought 11.5 gallons for a total of 23.5 gallons in the second month. You drove 539 miles.
- **Question:** How many miles per gallon did you get?

**Calculation:**
$$ 539 \text{ miles} \div 23.5 \text{ gallons} \approx 22.94 \text{ miles/g
Transcribed Image Text:### Gas for Your Car: **Scenario 1:** - **Date:** April 5th - **Details:** You had to fill up your tank. You bought 12.2 gallons for $4.42/gallon. - **Question:** How much did you spend on gas? **Calculation:** $$ 12.2 \text{ gallons} \times \$4.42/\text{gallon} = \$53.92 $$ - **Answer:** _______________ **Scenario 2:** - **Date:** April 14th - **Details:** You had to fill up your tank. You bought 14.5 gallons for $4.51/gallon. - **Question:** How much did you spend on gas? **Calculation:** $$ 14.5 \text{ gallons} \times \$4.51/\text{gallon} = \$65.395 \approx \$65.40 $$ - **Answer:** _______________ **Price Change Calculation:** - **Question:** What was the percent change, to the nearest tenth, for the price of gas from the 5th to the 14th? **Calculation:** $$ \frac{\$4.51 - \$4.42}{\$4.42} \times 100 = \frac{0.09}{4.42} \times 100 \approx 2.0\% $$ - **Answer:** ____________ **May Gas Purchases:** **Details:** - **Date:** May 3rd - **Expense:** $55.00 - **Date:** May 22nd - **Expense:** $52.00 **Gallons Calculation:** - **Question:** If you bought 12 gallons for $55.00, how much did you pay per gallon? **Calculation:** $$ \$55.00 \div 12 \text{ gallons} = \$4.58/\text{gallon} $$ - **Answer:** __________________ **Efficiency Calculation:** - **Details:** The second time you bought 11.5 gallons for a total of 23.5 gallons in the second month. You drove 539 miles. - **Question:** How many miles per gallon did you get? **Calculation:** $$ 539 \text{ miles} \div 23.5 \text{ gallons} \approx 22.94 \text{ miles/g
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