Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population? (2 points)

Month 1
Month 2
Month 3
Month 4

Question

Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population? (2 points)

Month 1
 Month 2
 Month 3
 Month 4

dude · Answer

You probably meant an exponent for f(x)?

$f(x)=3^x$ and $g(x)=7x+6$

bammbiii5 · Answer

Well, you are given. 
$$f(x)=3^x $$ and $$g(x)=7x+6$$
So month 1 we can plug 1 in for x. So, x = 1 
$$f(1)=3^1=3$$ and $$g(1)=7*1+6=13$$
So as you can tell: f(1) = 3 and g(1) = 13 so this is incorrect/ false. Because it is asking for f(x) to be larger not g(x).

For B) month 2 plug 2 in for x just like we did above for month 1. 
$$f(2)=3^2=9 $$ and $$g(2)=7*2+6=20$$
So again as you can see: f(2) and g(2) 
So this is incorrect/ false. g(x) is larger than f(x).

For C) Month three plug 3 in for x again like we did above. ^^
$$f(3)=3^3=27$$ and $$g(3)=7*3+6=27 $$
So this is incorrect because both are equal. f(x) = g(x)

For D) Month 4. Plug 4 in for x like above ^^.
$$f(4)=3^4=81$$ and $$g(4)=7*4+6=34$$
This one is correct because f(x) > g(x) or f(x) is greater than g(x).

Answer is D) Month 4.

Good luck on the assignment.