QuestionA sample of bacteria taken from a river has an initial concentration of 2.4 million bacteria per milliliter and its concentration triples each week. (a) Find an exponential model that calculates the concentration (in millions) after x weeks. (b) Estimate the concentration (in millions) after 1.7 weeks. (a) $B(x)=$ $\square$ (Type an equation using $x$ as the variable.)

Studdy Solution
Multiply the result by 2.4 to find the estimated concentration: $B(1.7) \approx 2.4 \cdot 5.278 \approx 12.6672$
The exponential model is: $B(x) = 2.4 \cdot 3^x$
The estimated concentration after 1.7 weeks is approximately: $12.6672 \text{ million bacteria per milliliter}$

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