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algebra intermediate

Problem

Daniel works at an electronics store, and he claims that the popularity of a television (measured in number of sales) is inversely proportional to its cost. If 15 customers buy a television that costs $\1500, according to Daniel's theory, how many customers would buy a television that costs $\2500?
Solution
Let the popularity of a television (or the number of customers who buy one) equal , and let the cost of the television equal . According to Daniel's theory, and are inversely proportional. Thus, for some constant value . If when , then . So when , According to Daniel's theory, 9 customers would buy the \2500$ television.
Final answer
9