Linear growth
a.
is characterized by a rapidly growing population.
b.
is demonstrated by the sequence 12, 13, 14, 15, 16.
c.
is illustrated by the numbers 2, 4, 8, 16, 32.
d.
is characterized by resource use and consumption.
e.
is characterized by a slowly decreasing population.
If the world's population grew by 2% in 1998 and continued at that rate, how long would it take the Earth's population to double?
a.
20 years
b.
25 years
c.
30 years
d.
35 years
e.
40 years
Linear growth is characterized by a consistent increase over time where the amount added or gained remains constant. To determine if a statement describes linear growth, we need to examine the pattern and see if there is a constant increase or progression.
a. Rapidly growing population does not necessarily indicate linear growth as it is describing the speed at which the population is increasing, not the consistency of the increase.
b. The sequence 12, 13, 14, 15, 16 does not demonstrate linear growth as the increase is not constant. The progression is an increase of 1 with each term, but it is not consistent.
c. The numbers 2, 4, 8, 16, 32 demonstrate exponential growth, not linear growth. Each subsequent number is double the previous one.
d. Resource use and consumption does not relate to linear growth as it describes the utilization and depletion of resources, not a consistent increase.
e. A slowly decreasing population does not represent linear growth as it indicates a decline, not a constant increase.
Now, let's move on to the second question:
To determine how long it would take for the Earth's population to double if it grew by 2% each year, we can use the rule of 70. The rule of 70 states that to find the doubling time, we divide 70 by the growth rate.
In this case, the growth rate is 2%, so we divide 70 by 2 to get 35.
Therefore, it would take 35 years for the Earth's population to double if it grew by 2% each year.
So, the answer is option d. 35 years.