In the equations below, each shape stands for the same number each time that it appears. If both of these equations are true, what is the value of ?

you could deduce the conclusion directly using the facts pertaining to the specific situation.

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answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

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