Answer:
[tex]A(t)=16(0.99948)^t[/tex]
Step-by-step explanation:
The exponential function is modeled using the equation:
[tex]A(t)=A_o(1\pm r)^t[/tex]
Where the plus sign indicates growth and the negative sign indicates exponential decay.
- r=Decay/Growth constant
- t=time
- [tex]A_0[/tex] is the starting value.
For an exponential function has a starting value of 16 and a decay rate of 0.52%.
[tex]A_0=16\\r=0.052\%=0.00052[/tex]
This gives:
[tex]A(t)=16(1- 0.00052)^t\\A(t)=16(0.99948)^t[/tex]
The function that models this situation is:
[tex]A(t)=16(0.99948)^t[/tex]
