Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form
[tex]y=ab^x[/tex]
then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have
[tex]y=4(\frac{1}{2})^x[/tex]
Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4
