Question

Having completed your first few tasks, you move now to a portion of the lab where important bacteria are being grown. Based on the data collected, you have determined that the population of this bacteria in the range measured can be modeled as A(t)=195(1.31)ᵗ, where t is given in days. To the nearest whole number, what will the bacteria population be after 6 days?

Answer 1

To calculate the bacteria population after 6 days, substitute 6 into the equation A(t) = 195(1.31)^t, raise 1.31 to the sixth power, multiply by 195, and then round to the nearest whole number.

Step-by-step explanation:

To find the bacteria population after 6 days using the exponential growth model A(t) = 195(1.31)t, where t is the time in days, we need to substitute t with 6.

This calculation involves raising the number 1.31 (the growth rate) to the sixth power and multiplying the result by 195 (the initial amount). Here's the calculation step by step:

1. Calculate 1.316 which is the growth factor over 6 days.
2. Multiply this growth factor by 195 to get the population after 6 days.

After performing these calculations, we can round off the result to the nearest whole number to get the final bacteria population after 6 days.