(4 points) Let P = f(t) = 1050(1.033)? be the population of a community in year t. (a) Evaluate f(0) = (b) Evaluate f(10) = (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. How much the population will increase in 10 years. B. What the population will be in 10 years. C. The initial population of the community. D. The growth rate per decade of the population. E. How many years it takes for the population to reach 10,000 people. F. How long it will take for the population to increase by 10 people. G. None of the above (d) If the percentage growth rate remains constant, approximately when will the population reach 2800 people? In years (round to the nearest whole year).
Added by Alejandro M.
Close
Your feedback will help us improve your experience
Supreeta N and 64 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Let P = f(t) = 1100(1.053)^t be the population of a community in year t. (a) Evaluate f(0) (b) Evaluate f(10) (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. How much the population will increase in 10 years. B. The growth rate per decade of the population. C. The initial population of the community. D. What the population will be in 10 years. E. How many years it takes for the population to reach 10,000 people. F. How long it will take for the population to increase by 10 people. G. None of the above (d) If the percentage growth rate remains constant, approximately when will the population reach 3300 people? In years (round to the nearest whole year).
Kathleen C.
Let P = f(t) = 1150(1.035)^t be the population of a community in year t. (a) Evaluate f(0). (b) Evaluate f(10) (retain at least 3 decimal places). (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. How much the population will increase in 10 years. B. The growth rate per decade of the population. C. What the population will be in 10 years. D. How many years it takes for the population to reach 10,000 people. E. How long it will take for the population to increase by 10 people. F. The initial population of the community. G. None of the above (d) If the percentage growth rate remains constant, approximately when will the population reach 3000 people? In years (round to the nearest whole year).
The population P, in thousands, of a small city is given by the following function, where t is time in years. Answer parts a) through c). P(t) = 600t / (2t^2 + 25) a) Find the growth rate. The growth rate is . b) Find the population after 10 yr. The population is after 10 years. (Round to the nearest integer as needed.) c) Find the growth rate at t = 10 yr. The growth rate at t = 10 yr is residents/yr. (Round to the nearest integer as needed.)
Ma. Theresa A.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD