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Question:

Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

Answer:

1) I went to the store to buy some strawberries. i bought 2 packages of strawberries, that was $36. i spent $288 in total. how many packages of strawberries did i buy? 2) I went to the music store to buy 2 guitars and 4 CD’s. 1 guitar was $45, and 2 CD was $13. how much money did I spend?

inverse varitation:

as one variable increases, the other decreases
of the type y = c/x , where c is a constant

e.g.
I was driving at 100 km/h and I went 600 km
how far would I go in the same time, if I went at 120 km/h