Precalculus conversions

Question

Convert Q = 16(0.487)t to the form Q = aekt

Answer 1

16(0.487)^t = Ae^kt

 

Let A = 16 and e^k = 0.487

 

                     ln(e^k) = ln(0.487)

 

                     k = -0.7194912

 

So, 16(0.487)^t ≈ 16e^-0.71949t