1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120...
21² + 6 Ay The population, P, in thousands of a resort community is given 100 600t by P(t) = t20, where t is time, in months. 80-A a) Find the population at t= 0, 1, 3, and 8 months. .60 b) Find the horizontal asymptote of the graph and determine the 401 value that P(t) approaches as t goes to co? c) Explain the meaning of the answer to part (b) in terms of the 20- application 0 10...
(1 point) P of a population P(t) is given in the figure above. By approximately P(t) A graph of the relative growth rate what percentage does the population change over the 9 year period? Answer: %. Clarification: As in Example 1 on page 290 of your textbook, first find factor by which the population has increased, i.e., K = P(9)/P(0), or equivalently, P(9) = Р(9) — Р(0) —D КР(0) KP(0). Then the amount of the increase itself is P(0) (K...
the population P (in thousands) of a certain city from 2000 through 2008 can be modeled by p=280.84e^kt where t is the year with t=0 corresponding to 2000. in 2006 the population was about 360,000. (a) finf the value of k for the model. round your result to four decimal places (b) use your model to predict the population in 2015(round your answer to the nearest person p=?? 16. 1/2 points Previous Answers LarATRMRP7 4.5.0183/30 Submissions Used My Note Corplete...
In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 8000+?. dP a) Find the growth rate dt b) Find the population after 10 yr. c) Find the growth rate at t= 10. d) Explain the meaning of the answer to part (c).
4. The population (in millions) of a country at t years after 1980 is given by P(t) = 23.42 00154 a) What was the population in 1980? b) What was the expected population in 2005. c) When, to the nearest year, will the country have a population of 60 million?
- A population grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
Polynomial Functions Tips on TIPS The population, P, of particles in a sample after t minutes can be modeled by the function: P(t) = 142 – 6t + 1300 a) Write an expression for the average rate of change of the population from t = 12 to t= 12 + h. b) Use your expression to determine the average rate of change of the population from t = 12 to t= 16. c) Use your expression to estimate the instantaneous...
The population (in Millions) of a country t years after 1800 is given by the function f(t). Use the graphs of f(0,1(1), and t'' (t) given below to answer the following questions AY 300 250 200 3- 003- 2 y=0 150 100 50 0.02- 0.01- 0+ -0.014 -0.02- y -0.03 1 50 100 150 200 yer 0 0+ 0 50 100 150 200 50 100 150 200 (a) What was the population in 1925? The population in 1925 wes milion...
The formula A=127e0.034t models the population of Corona, CA, in thousands, t years after 1994. When will the population of the city reach 175 thousand?
Suppose the population grows (in thousands) according to the following relationship, P=125e0.012t , where t is the number of years. Using logarithms, find the number of years t, it would take for the population P, to double, that is equal 250. Also comment on the meaning of the exponent