A fish population in a small lake is estimated to be 6000. Due to a change in

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A fish population in a small lake is estimated to be 6000. Due to a change in water quality, this population is decreasing by half each year. 

(a) Find an exponential model f that approximates the number of fish in the lake after x years. 

(b) Estimate the fish population to the nearest hundred after 3.5 years.

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