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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?

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JeanaShupp

Answer: 9

Step-by-step explanation:

The equation to show inverse variation between two quantities x and y is given  by :-

[tex]x_1y_1=x_2y_2[/tex]

Given : Daniel claims that the popularity of a television (measured in number of sales) is inversely proportional to its cost.

15 customers buy a television that costs $1500.

Let x be the number of  customers buy a television that costs $2500.

Then , we have the following equation :-

[tex]x\times2500=15\times1500\\\\\Rightarrow\ x=\dfrac{15\times1500}{2500}=9[/tex]

Hence, 9 customers would buy a television that costs $2500.

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