The population of guatemala in 2000 was 12.7 million.
1. assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 30 million in 2020? answer (in millions): p(t)=
2. assuming exponential growth, what would be the size of the population after time t (measured in years after 2000) if the population was 30 million in 2125?
answer (in millions): p(t)=

Since the population of Guatemala follows an exponential growth, therefore the equation describing the population over time should be in the form:

p = p0 (1 + r)^t

where,

p = is the population at specified time t

p0 = is the initial population (measured starting year 2000) = 12.7 m

r = the growth rate

t = time in years

A. Calculating for the growth rate r when p = 30 and t = 20:

30 = 12.7 (1 + r)^20

1 + r = (30 / 12.7)^(1/20)

r = (30 / 12.7)^(1/20) – 1

r = 0.0440

So the equation is:

p = p0 (1.0440)^t

B. Calculating for the growth rate r when p = 30 and t = 125:

30 = 12.7 (1 + r)^125

1 + r = (30 / 12.7)^(1/125)

r = (30 / 12.7)^(1/125) – 1

r = 0.0069

So the equation is:

p = p0 (1.0069)^t

sorry not sure

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional