3. kingman’s population at the end of 2017 was 29,472, and its growth rate has been 1.42% each year. jeff lives in kingman and wants to track the predicted population growth over time for an experiment. a. write an equation to model the population growth of kingman. b. what was the population in june of 2018? round your answer to the nearest integer. c. what will the population be at the end of 2018? round your answer to the nearest integer. d. what will the population be in 2025? round your answer to the nearest integer

Answers:

(a) the population function is exponential in the number of years (t) after 2017:

(b) Although the model is defined on a yearly basis, we can answer the question by calculating the projected population at the end of 2018 (t=1) and, under the assumption of same birth rate every month, take half of the yearly increase (end of June):

N(1) = 29890.50

June population:

(c) N(1) = 29891 (see (b) above)

(d) Population in 2025 is the function value at t=2025-2017=8

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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question 8 options:

mint plant

wise

happy

lazy