A culture started with 3,000 bacteria. After 6 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number

Question

anonymous · Answer

HELP?

anonymous · Answer

$$\frac{3300}{3000}=1.1$$ so it increases by $10\%$ every 6 hours 
compute 
$$\large 3000\times (1.1)^{\frac{13}{6}}$$

anonymous · Answer

i get $3688$ http://www.wolframalpha.com/input/?i=3000%281.1%29^%2813%2F6%29

anonymous · Answer

I don't think that's right. Seems to me the bacteria will be growing exponentially.

anonymous · Answer

of course it is growing exponentially
that is why $\frac{13}{6}$ is in the exponent !