Question

These two functions represent the growth of two different bacterial cultures in terms of the number of bacteria after x days.

f(x)=2,000(2)^x
https://northbranchsd.owschools.com/media/o_advalg_2015/2/img_g_alg02u09c03l20d_02.gif

A.Which function has the higher initial amount of bacteria?
g(x)
f(x)

B. Which function has the greater amount of bacteria after two days?
g(x)
f(x)

Answer 1

You can figure the initial amout by looking at x = 0 days,

Answer 2

For an exponential function in that form -

f(x) = A*(b)^x

the A in front is the initial value,

f(0) = A*b^0 = A

Answer 3

look at the graph for the other to compare, and for B. use x=2 to calculate

Answer 4

Ok thanks