Two separate bacteria populations that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the f(x) population exceed the g(x) population? Month (x) f(x) = 3x g(x) = 7x + 6
1 3 13
2 9 20
Month 3
Month 4
Month 5
Month 6

month 4

Step-by-step explanation:

if you graph each one you can see month 4 has a greater y-intercept for f(x) than for g(x)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.