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DiKsa [7]
4 years ago
14

Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what mont

h is the f(x) population greater than the g(x) population? A. Month 1 B. Month 2 C. Month 3 D. Month 4
Mathematics
1 answer:
harina [27]4 years ago
7 0

Answer:

D. Month 4

Step-by-step 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\times 1+6=13

so,

f(1)

so, this is FALSE

option-B:

we can plug x=2

f(2)=3^2=9

g(2)=7\times 2+6=20

so,

f(2)

so, this is FALSE

option-C:

we can plug x=3

f(3)=3^3=27

g(3)=7\times 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\times 4+6=34

so,

f(4)>g(4)

so, this is TRUE


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