Write your own realworld exponential problem It can range fr

Write your own real-world exponential problem. It can range from from compound interest to exponential growth and decay. Please be sure to clearly write out your own problem and then show all work/steps on how to solve it throughout your posting. (Hint: Imagine you are a teacher that is explaining the problem to a student for the first time!)

Solution

Blake bought a new car at a cost of $25,000. The value of car depreciates approximately 15% of its value each year. Find the worth of the car after 10 years?

---> This questions is base on exponential decay as it talks about decay in the question

\"value of car depreciates\"

----> we have to frame the decay equation:

-----> general decay equation can be given as: y = a(b)^x

where b is decay factor which found by b = 1- 0.15 = 0.85

a is the intial worth of car

x = number of years

----> a is the intial value of car = $25000

Now plug all values in general equation : y = 25000(0.85)^x

----> calclate the worth of car after 10 years:

y = 25000(0.85)^10 = $ 4921.86