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Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.
Houses sell for an average of $275,000.
f(275) indicates houses stay on the market an average of 275 days before being sold.
f(275) represents the average number of days houses stay on the market before being sold for $275,000.

Respuesta :

musiclover10045

The problem states:

f(p) is the average number of days a house stays on the market before being sold for price p in $1,000s

So we know:

p is the price in $1000s and

f(p) is the number of days before its sold for p

This means f(275) would be the number of days before its sold for 275,000 (since p is in $1000s).

The answer is:

f(275) represents the average number of days houses stay on the market before being sold for $275,000.

marcthemathtutor

Answer:

f(275) represents the average number of days houses stay on the market before being sold for $275,000.

Step-by-step explanation:

f(p) is defined as the average number of days that the house stay on the market before being sold as price p (in $1,000s).

Note that the mathematical equation for f(p) is not given, hence we are not given the actual relationship between price p and number of days f(p).

What we are given however is the term "f(275)".

all we can conclude from this term is that p = 275 (i.e the price sold is 275 x $1000 = $275,000). It says nothing about the actual numerical value of the number of days the house stays on the market, but leaves it as a general term f(275).

Hence the correct answer must include :

1) Selling price is $275,000

2) Number of days house stays on market averages f(275)

only the last option satisfies this:

f(275) represents the average number of days houses stay on the market before being sold for $275,000.

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