In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000 + 4000t². dP a) Find the growth rate, dt b) Find the population after 20 yr. c) Find the growth rate at t = 20. d) Explain the meaning of the answer to part (c). dP a)- b) The population after 20 yr is (Simplify your answer.) c) The growth rate at t = 20 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=20. OB. The growth rate tells the rate at which the population is growing at time t=20. OC. The growth rate tells the rate at which the population is growing at time t=20-1. O D. The growth rate tells the difference between the rate of growth at the beginning of t= 0 and t=20.

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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 + 4000t².
a) Find the growth rate,
dP
dt
b) Find the population after 20 yr.
c) Find the growth rate at t = 20.
d) Explain the meaning of the answer to part (c).
a)
b) The population after 20 yr is
(Simplify your answer.)
c) The growth rate at t = 20 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= 20.
B. The growth rate tells the rate at which the population is growing at time t = 20.
C. The growth rate tells the rate at which the population is growing at time t=20 - 1.
O D. The growth rate tells the difference between the rate of growth at the beginning of t= 0 and t = 20.
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 + 4000t². a) Find the growth rate, dP dt b) Find the population after 20 yr. c) Find the growth rate at t = 20. d) Explain the meaning of the answer to part (c). a) b) The population after 20 yr is (Simplify your answer.) c) The growth rate at t = 20 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= 20. B. The growth rate tells the rate at which the population is growing at time t = 20. C. The growth rate tells the rate at which the population is growing at time t=20 - 1. O D. The growth rate tells the difference between the rate of growth at the beginning of t= 0 and t = 20.
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