A scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. the function y=25*3^x models the number of bacteria after x hours estimate when there will be about 1170 bacteria in the culture

Question

Mathematics

Doyle

6 July, 19:40

A scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. the function y=25*3^x models the number of bacteria after x hours estimate when there will be about 1170 bacteria in the culture

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Blaze Ferguson · Answer 1

Y=25*3^x

1170=25*3^x

25*3^x=1170

3^x=1170/25

3^x=46.8

Log10 (3^x) = LOg10 (46.8)

x*log10 (3) = log10 (46.8)

x = (log10/46.8)) / (log10 (3))

x=1.60724585307/0.47712125472

x=3.50067375233

x=3.50