Answer to Question #168974 in Inorganic Chemistry for Alex

Question

A bacteria triples every 15 minutes. If there were originally 45 cultures in the lab, write the exponential function then determine how many cultures there are after 5 hours.

Answer 1

For every hour, the bacteria multiple by 4t periods

The exponential function for number of cultures after t hours = 45 × 3^4t

Number of culture after 5 hours = 45 × 3^4×5 = 45 ×3²⁰

= 1.57×10¹¹