Question

Suppose there are initially 2,200 bacteria in a culture and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 2200(3)t. How long will it take the culture to grow to 180,000 bacteria?

Answer 1

Answer on Question #83867 – Math – Algebra

Question

Suppose there are initially 2,200 bacteria in a culture and the number of bacteria triple each hour, the number of bacteria after $t$ hours can be found using the formula $y = 2200(3)t$. How long will it take the culture to grow to 180,000 bacteria?

Solution

$$y = 2200 \cdot 3 \cdot t$$ $$y = 180000$$ $$t = \frac{y}{2200 \cdot 3}$$

$t = 27,272727272727$ hours or $t \approx 27$ hours 16 min 22 sec

Answer: $t = 27,272727272727$ hours or $t \approx 27$ hours 16 min 22 sec.

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