A number of cells decreases by 54 every 7 hours By what per

A number of cells decreases by 54 % every 7 hours By what percent does it change every ... Points possible 1 Unlimited attempts Score on last attempt 0. Score in gradebook 0

Solution

Let the decay equation be y = a(b)^t

Given : decreases by 54% every 7 hr

So, Remaining = 56%

0.46*a = a(b)^7

0.46 = b^7

b = (0.46)^1/7

= 0.894

So, 1- x = 0.894 ; x = 0.106

It decreases by 10.6 % every hour

y = a(0.894)^t

So, after 40 min. y = a(0.894)^0.67 = 0.927a

% change in 40 minutes = (a - 0.927a)/a =0.072 = 7.2%

After every 2 days =y = a(0.894)^48 = 0.0046a

% change in 2 days = (a - 0.0046a)/a = 0.995 = 99.5 %