In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 3000t². 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).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 3000+².
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).
a)
=
dt
b) The population after 10 yr is
(Simplify your answer.)
c) The growth rate at t = 10 is.
(Simplify your answer.)
d) What is the meaning of the answer to part (c)?
O A. The growth rate tells the average growth from time t = 0 and t= 10.
O B. The growth rate tells the rate at which the population is growing at time t = 10.
O C. The growth rate tells the difference between the rate of growth at the beginning of t= 0 and t = 10.
O D. The growth rate tells the rate at which the population is growing at time t= 10-1.
Transcribed Image Text:In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 3000+². 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). a) = dt b) The population after 10 yr is (Simplify your answer.) c) The growth rate at t = 10 is. (Simplify your answer.) d) What is the meaning of the answer to part (c)? O A. The growth rate tells the average growth from time t = 0 and t= 10. O B. The growth rate tells the rate at which the population is growing at time t = 10. O C. The growth rate tells the difference between the rate of growth at the beginning of t= 0 and t = 10. O D. The growth rate tells the rate at which the population is growing at time t= 10-1.
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