Question

Two separate bacteria populations that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the f(x) population exceed the g(x) population?

Answer 1

Answer:

The function f(x) exceeds g(x) in the 4th month.

Step-by-step explanation:

The function  $f(x)=3^x$ exceeds $g(x)=7x+6$ population when

$f(x)> g(x)$

or when

$3^x> 7x+6$.

To solve for $x$, we graph this inequality.

From the graph we see that $f(x)$ exceeds $g(x)$ when

$x>3$

Therefore, function $f(x)$ has greater value than $g(x)$  in the 4th month .