The population for Bacteria A can be modeled by the function f of t equals 5 times 4^t. The population for Bacteria B can be modeled by the function g of t equals 10 times 2^t. For both functions, t is time in days.
what is the difference between the bacteria after 4 days
To find the difference between the populations of Bacteria A and B after 4 days, we need to evaluate the functions f(t) and g(t) at t = 4 and then subtract the values.
For Bacteria A:
f(4) = 5 * 4^4
f(4) = 5 * 256
f(4) = 1280
For Bacteria B:
g(4) = 10 * 2^4
g(4) = 10 * 16
g(4) = 160
The difference between the populations after 4 days is:
1280 - 160 = 1120
Therefore, the difference between the populations of Bacteria A and B after 4 days is 1120.
what I mean is how will the bacteria be different after 4 days
Apologies for the confusion. To determine how the bacteria will be different after 4 days, we need to compare the populations of Bacteria A and B at t = 4.
For Bacteria A:
f(4) = 5 * 4^4
f(4) = 5 * 256
f(4) = 1280
For Bacteria B:
g(4) = 10 * 2^4
g(4) = 10 * 16
g(4) = 160
After 4 days, the population of Bacteria A will be 1280, and the population of Bacteria B will be 160. Therefore, Bacteria A will have a significantly higher population than Bacteria B after 4 days.