math help step by step

Question

A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6(b)^x, where x is the time in weeks following the moment he dropped the fish into the pond and b is a positive unknown base. Suppose that b is 3. Graph this relationship. How long does it take for there to be at least 100 fish in the pond?

Answer 1

Hello, Ashton,

Nike D. has the correct answer (after you change y = 6.3^x to y=5*3^x).

You could also solve the equation directly:

100 = 6*3^x

I get:

^{x = 2.58 weeks, unless anyone fishes, successfully, in that period.}

^Bob

Answer 2

Well b=3. So P(x) = 6 . 3^x

Graph this on Desmos (y = 6.3^x) and also draw the line y=100

Where these two lines intersect read off the x value, that is the required answer