Question

Twinkies on the shelf of a convenience store lose their fresh tastiness over time. We say that the taste quality is 11 when the Twinkies are first put on the shelf at the store, and that the quality of tastiness declines according to the function Q(t)=.85tQ(t)=.85t (tt in days). Determine when the taste quality will be one half of its original value.

Answer 1

Answer:

4.27 days

Explanation:

Initial taste quality = 1

Quality of tastiness declines using this function

Q(t)  = 0.85^t ( t in days )

Determine when the taste quality will be 1/2 of original value

i.e. when Q(t) = 1/2

1/2 = 0.85^t

= In ( 2 ) = - t ( In 0.85 )

∴ t = - In (2) / In (0.85)

     = 4.265 days  ≈ 4.27 days