How much is the car worth?? (Exponential function)

Question

Suppose you buy a brand-new car from a dealership for ₱824,000. The value of a car decreases over time according to an exponential decay function. The half-life of this particular car, or the time it takes for the car

to depreciate 50%, is approximately 3 years. The exponential decay is described by

A(t)=A₀(1/2) ^t/h

How much is the car worth after 3 years? 6 years? 12 years? 24 years? show solution

Answer 1

A(3) = 824000(0.5)^3/3

A(6) = 824000(0.5)^6/3

A(12) = 824000(0.5)^12/3

A(24) = 824000(0.5)^24/3