SOLUTION: Help Find A real life situation that an be represented by loarithmic function, translate the situation to the function, and solve and represent it graphically. Any rela life situ

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Question 41298This question is from textbook
: Help Find
A real life situation that an be represented by loarithmic function, translate the situation to the function, and solve and represent it graphically. Any rela life situation would be okay. This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Costs on vehicles is a great example! Vehicles constantly decline in cost because they are constantly being used.
If you bought a really cheap car at $1000.00 and it declined at a rate of 3%, then you have a logarithmic equation:
P%28a%29+=+a%281+-+r%29%5Et
P%28a%29+=+1000%281+-+0.03%29%5Et
P%28a%29+=+1000%280.97%29%5Et
When will the car be worth $900.00?
900+=+1000%280.97%29%5Et
0.9+=+%280.97%29%5Et
log%2810%2C0.9%29+=+log%2810%2C%280.97%29%5Et%29
log%2810%2C0.9%29+=+t%2Alog%2810%2C%280.97%29%29
log%2810%2C0.9%29%2Flog%2810%2C%280.97%29%29+=+t
About 3.5 years
To graph it:
P%28a%29+=+1000%280.97%29%5Ex change the t to x for the x-axis to be time
+graph%28+500%2C+650%2C+-1%2C+10%2C+-16%2C+1000%2C+1000%280.97%29%5Ex%2C+900%29+