Question

These two functions represent the growth of two different bacterial cultures in terms of the number of bacteria after x days.

Answer 1

A) The function that has a higher initial amount of bacteria is g(x) since
For the given function f(0) is 2000
From the graph, g(0) is 1000
b) After two days,
f(2) = 8000
from the graph
g(2) = 6000
f(x) has a greater number of bacteria after 2 days

Answer 2

Answer:

A. The function f(x) has the higher initial amount of bacteria.

B. The function g(x) has the higher amount of bacteria after two days.

Step-by-step explanation:

The given function is

$f(x)=2000(2)^x$

The graph of g(x) passing through the points (0,1000) and (1,3000). So the initial value is 1000 and the growth factor is 3.

The function g(x) is

$g(x)=1000(3)^x$

Part A:

Substitute x=0, to find the initial blue of the functions.

$f(0)=2000(2)^0=2000$

$g(0)=1000(3)^0=1000$

Since 2000>1000, therefore the function f(x) has the higher initial amount of bacteria.

Part B:

Substitute x=2, to find the amount of bacteria after two days.

$f(2)=2000(2)^2=8000$

$g(2)=1000(3)^2=9000$

Since 8000<9000, therefore the function g(x) has the higher amount of bacteria after two days.