Question

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 $210,000 in city a. find the price of a comparable house in city c, city e, and city f. city a 173, city b 175, city c 307, city d 100, city e 46, city f 162, city g 188, city h 475, city j 171, city k 83. 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. \\(\frac{\text{price (other town)}}{\text{price (your town)}} = \frac{\text{index (other town)}}{\text{index (your town)}}\\) a comparable house in city c would cost about $372659. (round to the nearest dollar.) a comparable house in city e would cost about $\square$. (round to the nearest dollar.)

Explanation:

Step1: Identify the values

The price in City A (\(price_{A}\)) is \( \$210000\), the index of City A (\(index_{A}\)) is \(173\), and the index of City E (\(index_{E}\)) is \(46\).

Step2: Apply the formula

Use the formula \(price_{other\ town}=price_{your\ town}\times\frac{index(other\ town)}{index(your\ town)}\).
Substitute the values: \(price_{E}=210000\times\frac{46}{173}\).
First, calculate \(\frac{46}{173}\approx0.2659\).
Then, \(210000\times0.2659 = 55839\).

Answer:

\(55839\)