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? A. Month 1 B. Month 2 C. Month 3 D. Month 4

Answer 1

It is D. Month 4

Explanation:

Answer 2

D. Month 4

Explanation:

We are given

Two separate bacteria populations grow each month and are represented by the functions

`f(x)=3^x`

`g(x)=7x+6`

now, we can verify each options and check which one holds f(x)>g(x)

option-A:

we can plug x=1

`f(1)=3^1=3`

`g(1)=7* 1+6=13`

so,

`f(1)<g(1)`

so, this is FALSE

option-B:

we can plug x=2

`f(2)=3^2=9`

`g(2)=7* 2+6=20`

so,

`f(2)<g(2)`

so, this is FALSE

option-C:

we can plug x=3

`f(3)=3^3=27`

`g(3)=7* 3+6=27`

so,

`f(3)=g(3)`

so, this is FALSE

option-D:

we can plug x=4

`f(4)=3^4=81`

`g(4)=7* 4+6=34`

so,

`f(4)>g(4)`

so, this is TRUE