The population of the Wallingfried neighborhood has been growing steadily since 1982. In 1984, thepopulation was 37800 people. In 1992, it was 49000 people. Find an equation in the form y = mx + b,where x is the number of years past 1982 and y is the population of Wallingfried.Answer: y =%3D

Answered: The population of the Wallingfried…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter2: Solving Linear Equations

Section2.1: Use A General Strategy To Solve Linear Equations

Problem 76E: Explain why you should simplify both sides of an equation as much as possible before collecting the...

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The population of the Wallingfried neighborhood has been growing steadily since 1982. In 1984, the
population was 37800 people. In 1992, it was 49000 people. Find an equation in the form y = mx + b,
where x is the number of years past 1982 and y is the population of Wallingfried.
Answer: y =
%3D

Expert Solution

Step 1

Given data is :

$I n 1984 t h e p o p u l a t i o n w a s 37800 a n d 1992 t h e p o p u l a t i o n i s 49000$

$\begin{array}{rcl} R a t e o f i n c r e a s e i n p o p u l a t i o n (m) & = & \frac{49000 - 37800}{1992 - 1984} \\ = & 1400 / y e a r \end{array}$

$\begin{array}{rcl} T h e r e f o r e p o p u l a t i o n i n 1982 & = & 37800 - 2 \times 1400 \\ = & 35000 \end{array}$

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