4. A population of koi goldfish in a pond was measured over time. In the year 2002, the population was recorded as 380 and in 2006 it was 517. Given that y is the population of fish and x is the number of years since 2000, do the following: (a) Represent the information in this problem as two coordinate points. (b) Determine a linear function in the form y = mx+b that passes through these two points. Don't round the linear parameters (m and b). (c) Determine an exponential function of the form y a(b) that passes through these two points. Round b to the nearest hundredth and a to the nearest tenth. (d) Which model predicts a larger population of fish in the year 2000? Justify your work.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Pe
A.
A
Heading 1
Dictate
APPLICATIONS
4. A population of koi goldfish in a pond was measured over time. In the year 2002, the population was
recorded as 380 and in 2006 it was 517. Given that y is the population of fish and x is the number of years
since 2000, do the following:
(b) Determine a linear function in the form
y= mx+b that passes through these two
points. Don't round the linear parameters (m
and b).
(a) Represent the information in this problem as
two coordinate points.
(c) Determine an exponential function of the form
y=a(b) that passes through these two
points. Round b to the nearest hundredth and a
to the nearest tenth.
(d) Which model predicts a larger population of
fish in the year 2000? Justify your work.
!!!
Transcribed Image Text:OneNote for Windows 10 Owersja Pe A. A Heading 1 Dictate APPLICATIONS 4. A population of koi goldfish in a pond was measured over time. In the year 2002, the population was recorded as 380 and in 2006 it was 517. Given that y is the population of fish and x is the number of years since 2000, do the following: (b) Determine a linear function in the form y= mx+b that passes through these two points. Don't round the linear parameters (m and b). (a) Represent the information in this problem as two coordinate points. (c) Determine an exponential function of the form y=a(b) that passes through these two points. Round b to the nearest hundredth and a to the nearest tenth. (d) Which model predicts a larger population of fish in the year 2000? Justify your work. !!!
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