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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)

1.) month 1
2.) month 2
3.)month 3
4.)month4

1 Answer

4 votes

Answer:

Option 4.) month 4

Explanation:

we have


f(x)=3^(x) ----> equation A


g(x)=7x+6 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (3,27)

That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)

therefore

For x> 3 months the f(x) population is greater then the g(x) population

Two separate bacteria populations grow each month and are represented by the functions-example-1
User Ran Davidovitz
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