The following table shows a housing index that can be used to compare housing prices in different cities. Suppose you see a house valued at $260,000 in City G. Find the price of a comparable house in City D, City F, and City E. If you know the price of a particular home in your town, you can use the index to find the price of a comparable house in another town with the formula below. index (other town) index (your town) price (other town) = price (your town) X City Index City Index 328 City A 100 City F 107 City B 147 City G City C 175 City H City D 401 City J 167 City E 150 City K 151 98 A comparable house in City D would cost about $. (Round to the nearest dollar.)
The following table shows a housing index that can be used to compare housing prices in different cities. Suppose you see a house valued at $260,000 in City G. Find the price of a comparable house in City D, City F, and City E. If you know the price of a particular home in your town, you can use the index to find the price of a comparable house in another town with the formula below. index (other town) index (your town) price (other town) = price (your town) X City Index City Index 328 City A 100 City F 107 City B 147 City G City C 175 City H City D 401 City J 167 City E 150 City K 151 98 A comparable house in City D would cost about $. (Round to the nearest dollar.)
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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![## Housing Price Comparison Using Index
The following table shows a housing index that can be used to compare housing prices in different cities. Suppose you see a house valued at $260,000 in City G. Find the price of a comparable house in City D, City F, and City E.
| City | Index | City | Index |
|------|-------|------|-------|
| City A | 100 | City F | 107 |
| City B | 147 | City G | 328 |
| City C | 175 | City H | 151 |
| City D | 401 | City J | 167 |
| City E | 150 | City K | 98 |
### Formula for Price Comparison
If you know the price of a particular home in your town, you can use the index to find the price of a comparable house in another town with the formula below.
\[ \text{price (other town)} = \text{price (your town)} \times \left( \frac{\text{index (other town)}}{\text{index (your town)}} \right) \]
A comparable house in City D would cost about \( \$ \boxed{} \).
(Round to the nearest dollar.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd357b89a-d63d-400d-a75c-5f74a0421e19%2Fbf183a74-a42f-499f-bc4d-6629b62d6415%2Fvhjyz5k_processed.png&w=3840&q=75)
Transcribed Image Text:## Housing Price Comparison Using Index
The following table shows a housing index that can be used to compare housing prices in different cities. Suppose you see a house valued at $260,000 in City G. Find the price of a comparable house in City D, City F, and City E.
| City | Index | City | Index |
|------|-------|------|-------|
| City A | 100 | City F | 107 |
| City B | 147 | City G | 328 |
| City C | 175 | City H | 151 |
| City D | 401 | City J | 167 |
| City E | 150 | City K | 98 |
### Formula for Price Comparison
If you know the price of a particular home in your town, you can use the index to find the price of a comparable house in another town with the formula below.
\[ \text{price (other town)} = \text{price (your town)} \times \left( \frac{\text{index (other town)}}{\text{index (your town)}} \right) \]
A comparable house in City D would cost about \( \$ \boxed{} \).
(Round to the nearest dollar.)
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