1. Write an exponential decay function in the form f(x)=abx for each of Car A and Car B.Explain how you determined the value of b for each function.2. Use the Desmos graphing utility to create two graphs; one for each function that you wrote inquestion 1. Explain what each axis represents and why you choose the scale you did. You mayalso plot these graphs by hand, if you prefer.3. Look at your graphs from question 2. Explain the value of each y-intercept in context of thescenario. Suppose that your friend Rhyley has saved $5,000 toward the cost of a car and her parents haveagreed to match that amount, dollar for dollar. You learned in your algebra 2 class that the valueof a car decreases as time passes. You want to use your knowledge to help your friend buy thebest car that she can with the money she has available. Rhyley has narrowed the options down totwo different cars, both of which have similar features:Car ACost: $8,750Mileage: 89,325Year of Manufacture: 2015Decay Factor (average): 12%Car BCost: $9,995Mileage: 73,498Year of Manufacture: 2017Decay Factor (average): 18%

Answered: Image /qna-images/answer/913efcc9-badd-4a8f-9e26-7a4e76c96e9b.jpg

Answered: Suppose that your friend Rhyley has…

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

1. Write an exponential decay function in the form f(x)=ab^x for each of Car A and Car B.
Explain how you determined the value of b for each function.

2. Use the Desmos graphing utility to create two graphs; one for each function that you wrote in
question 1. Explain what each axis represents and why you choose the scale you did. You may
also plot these graphs by hand, if you prefer.

3. Look at your graphs from question 2. Explain the value of each y-intercept in context of the
scenario.