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? Month 1 Month 2 Month 3 Month 4
2 answers:
Answer:
The answer is Never.
Step-by-step explanation:
In order to determine the month, we have to graph both functions and then we have to determine the intercept point of the functions. With this information, for any "x" value greater than
, one of both function will be greater that the other.
I have attached an image that shows the graph of both functions, where:
Red line:
Blue line:
As we see in the image, the intercept happens in the negative range of "x". Also we can see that the population of g(x) is always greater than f(x) for .
Therefore, never the f(x) population will be greater than g(x) population.
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This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
