6. If the cost of utilities in Cleveland is 126% of the national average, the cost of utilities in Atlanta is 93% of the national average, and the national average is $125/month, how much would you expect to pay in utilities in both cities?
6. If the cost of utilities in Cleveland is 126% of the national average, the cost of utilities in Atlanta is 93% of the national average, and the national average is $125/month, how much would you expect to pay in utilities in both cities?
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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Transcribed Image Text:**Educational Website Transcription**
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**Unit 1.A Practice Assignment**
**6.** If the cost of utilities in Cleveland is 126% of the national average, the cost of utilities in Atlanta is 93% of the national average, and the national average is $125/month, how much would you expect to pay in utilities in both cities?
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**Explanation:**
To solve this problem, you need to calculate the cost of utilities in both Cleveland and Atlanta based on the given percentages and the national average.
1. **Cleveland Utilities Cost Calculation:**
- Percentage of national average: 126% = 126/100 = 1.26
- National average cost: $125/month
- Cleveland cost = 1.26 × $125 = $157.50/month
2. **Atlanta Utilities Cost Calculation:**
- Percentage of national average: 93% = 93/100 = 0.93
- National average cost: $125/month
- Atlanta cost = 0.93 × $125 = $116.25/month
Therefore, the expected cost of utilities is:
- **Cleveland:** $157.50/month
- **Atlanta:** $116.25/month
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