Suppose that two certain cars have the following average operating and ownership costs. Average Costs per Mile Ownership Operating $0.24 $0.12 Car A Car B $0.72 $0.22 If you drive 20,000 miles per year, by how much does the total annual expense for Car A exceed that of Car B over four years? C The total annual expense for Car A exceeds that of Car B by $ over four years. (Round to the nearest dollar as needed.) Total $0.96 $0.34

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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### Car Operating and Ownership Cost Comparison

Suppose that two certain cars have the following average operating and ownership costs:

|               | Average Costs per Mile  |
|:-------------:|:-----------------------:|
|               | Operating  | Ownership  | Total  |
|     Car A     |   $0.24    |    $0.72    | $0.96  |
|     Car B     |   $0.12    |    $0.22    | $0.34  |

#### Question:

If you drive 20,000 miles per year, by how much does the total annual expense for Car A exceed that of Car B over four years?

---

#### Calculation:

To calculate the total annual expense:

1. **Total cost per mile for Car A:** $0.96
2. **Total cost per mile for Car B:** $0.34

**Annual cost for Car A:**
- Annual miles driven: 20,000
- Annual cost = 20,000 miles * $0.96/mile = $19,200

**Annual cost for Car B:**
- Annual miles driven: 20,000
- Annual cost = 20,000 miles * $0.34/mile = $6,800

**Annual expense difference:**
- Difference per year = $19,200 - $6,800 = $12,400

**Total difference over four years:**
- Total difference = $12,400 * 4 = $49,600

**Answer:**
The total annual expense for Car A exceeds that of Car B by **$49,600** over four years. (Rounded to the nearest dollar)

---

**Note:**
This information is helpful for potential car buyers to understand and compare the long-term costs associated with different vehicles.

---
Transcribed Image Text:--- ### Car Operating and Ownership Cost Comparison Suppose that two certain cars have the following average operating and ownership costs: | | Average Costs per Mile | |:-------------:|:-----------------------:| | | Operating | Ownership | Total | | Car A | $0.24 | $0.72 | $0.96 | | Car B | $0.12 | $0.22 | $0.34 | #### Question: If you drive 20,000 miles per year, by how much does the total annual expense for Car A exceed that of Car B over four years? --- #### Calculation: To calculate the total annual expense: 1. **Total cost per mile for Car A:** $0.96 2. **Total cost per mile for Car B:** $0.34 **Annual cost for Car A:** - Annual miles driven: 20,000 - Annual cost = 20,000 miles * $0.96/mile = $19,200 **Annual cost for Car B:** - Annual miles driven: 20,000 - Annual cost = 20,000 miles * $0.34/mile = $6,800 **Annual expense difference:** - Difference per year = $19,200 - $6,800 = $12,400 **Total difference over four years:** - Total difference = $12,400 * 4 = $49,600 **Answer:** The total annual expense for Car A exceeds that of Car B by **$49,600** over four years. (Rounded to the nearest dollar) --- **Note:** This information is helpful for potential car buyers to understand and compare the long-term costs associated with different vehicles. ---
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