Math

posted by .

he world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function of time t (in years), with t = 0 corresponding to the beginning of 1990. (Round your answers to two decimal places.)
(a) If the world population continues to grow at approximately 2%/year, find the length of time t0 required for the population to double in size.
t0 = yr

(b) Using the time t0 found in part (a), what would be the world population if the growth rate were reduced to 1.6%/yr?
billion people

• Math -

Q(t) = 5.3 + 0.02*5.3t,
Q(t) = 5.3 + 0.106t.

a. Q(t) = 5.3 + 0.106t = 10.6 Billion,
5.3 + 0.106t = 10.6,
0.106t = 10.6 - 5.3 = 5.3,
t = 50 years.

b. Q(t) = 5.3 + 0.016t*5.3,
Q(t) = 5.3 + 0.0848t.

Q(t) = 5.3 + 0.0848*50 = 9.54 Billion.

• Math -

part a is incorrect, the proper answer is:

Q(t)=Qoe^kt
Q(t)= 5.3e^0.02t
2=e^0.02t
ln2=0.02t
t=34.6yr

• Math -

idk

Similar Questions

1. Calculus

for population in billions, where t is years since 1990: N(t) = 41/1+11 e^−0.1 t (b) According to this model, when will the earth's population reach 20.5 billion?
2. Algebra

Wk 6 Sec 12.7 #24 World population growth In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year. A.Find the exponential growth function B.Predict the worldâ€™s population in 2014 C.When will …
3. math 12

The world's population is 1970 was about 3.6 billion. If the population has increased at 2% each year since then, what will the world's population be in 2010?
4. maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.
5. math

UGH! The human population of the world is over 6 billion. The increase of the human population P (in billions) can be approximated using the following formula: P = 0.073t + 6.08, where t is the number of years after the year 2000. …
6. human life

The human population of the world is over 6 billion. The increase of the human population P (in billions) can be approximated using the following formula: P = 0.073t + 6.08, where t is the number of years after the year 2000. Use the …
7. Applied Calculus

The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function …
8. Math

The population of the Earth is approximately 6 billion people and is growing at an annual rate of 1.9%. Assuming a Malthusian growth model, find the world population in 42 years
9. maths

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1991.
10. math

china population is 1.33 billion and continues to grow at the same rate,how many years until the population reaches 1.5 billion people?

More Similar Questions