The number of bacteria y (in thousands) in a culture can be approximated by the model y=100(1.99)^t, where t I’d the number of hours the culture is incubated.

Estimate when the number of bacteria will be 1,000,000.

Please help!

It would take about 13.4 hours for the bacteria to reach 1,000,000

Step-by-step explanation:

We use the exponential growth equation the problem provides, to solve for a total of 1,000,000 bacteria.

Recall that "y"in the equation is the number of individuals at time "t"; 100 is the starting number  of the initial population, and t represents the elapsed time (in hours). So "t" i our unknown, and we know all the other values. Since "t" is in the exponent, we proceed to: first isolate the exponential expression, and second, to bring that unknown exponent "t" down by the use of logarithms.

correct answer:

a + bi

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents