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? month 1 month 2 month 3 month 4

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.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.