Short Answer13. Describe the trends in this graph.MAP4C Date21.81.60.2[3C]2.42.221.41.2.E 10.80.60.40✔2 46Number of storesTrendsInGraph.Increasing = Profit ( Million Dollars)Decreasing Number Of Stores &x8Name10ResubmitShow your workROC=

Answered: 13. Describe the trends in this graph.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

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Short Answer
13. Describe the trends in this graph.
MAP4C Date
21.8
1.6
0.2
[3C]
2.4
2.2
2
1.4
1.2.
E 1
0.8
0.6
0.4
0
✔
2 4
6
Number of stores
Trends
In
Graph.
Increasing = Profit ( Million Dollars)
Decreasing Number Of Stores &
x
8
Name
10
Resubmit
Show your work
ROC=

Expert Solution

Step 1: Equation of the graph

From the given graph the curve is a stright line .The starting point is $open parentheses 1 comma space 0.7 close parentheses$ and ending point is $open parentheses 8 comma space 2.1 close parentheses$

The equation of the stright line is

$fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction space equals space fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction$

$rightwards double arrow$ $fraction numerator y minus 0.7 over denominator 2.1 minus 0.7 end fraction space equals space fraction numerator x minus 1 over denominator 8 minus 1 end fraction$

$rightwards double arrow$ $fraction numerator y minus 0.7 over denominator 1.4 end fraction space equals space fraction numerator x minus 1 over denominator 7 end fraction$

$rightwards double arrow$ $fraction numerator 10 y minus 7 over denominator 14 end fraction space equals space fraction numerator x minus 1 over denominator 7 end fraction$

$rightwards double arrow$ $70 y minus 49 space equals space 14 x minus 14$

$rightwards double arrow$ $70 y space equals space 14 x space minus 14 space plus 49$

$rightwards double arrow$ $70 y space equals space 14 x space plus space 35$

$rightwards double arrow$ $y space equals space 14 over 70 x space plus space 35 over 70$

$rightwards double arrow$ $y space equals space 1 fifth space x space plus space 1 half$

$rightwards double arrow$ $y space equals space 0.2 space x space plus space 0.5$