SOLUTION: You are playing Pokémon-go in Chicago. The number of Pokémon you see is inversely proportional to the distance between your location and downtown Chicago. Suppose that you captur
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Question 1163993: You are playing Pokémon-go in Chicago. The number of Pokémon you see is inversely proportional to the distance between your location and downtown Chicago. Suppose that you capture 4 Pokémon when you are 3000 meters away from downtown Chicago. How many Pokémon do you expect to capture when you are 500 meters away from downtown Chicago?
(Is this a direct variation problem or an inverse variation problem? What key words in each problem tell you that it is either a direct variation or inverse variable problem?)
Direct Proportion: One value goes up, the other goes up (or Down and Down)
Inverse Proportion: One value goes up, the other goes down (or Down and Up)
My first clue for this problem was "The number of Pokémon you see is inversely proportional..." A good strategy for this kind of problem is to actually read the problem statement. In fact that works almost every time.
Plug in the initial condition numbers you know, and then calculate the value of . Once you know the constant of proportionality, you can calculate either value given the other one.
John
My calculator said it, I believe it, that settles it