Question

An experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour

Answer 1

Answer:

about 6 hours

Step-by-step explanation:

$8( {7}^{x} ) = 2( {10}^{6} )$

${7}^{x} = 250000$

$x = \frac{ ln(250000) }{ ln(7) } = 6.39$