Answer:
y= 16(0.25)^x
Explanation:
y= 16(0.25)^x
The exponential equation represents an exponential decay because the rate of decay is 0.25 which is less than 1.
The general form equation is:
y(x)= a(1-r)^x such that r is the decay percent.
Comparing two equation we have 1-r = 0.25
==> r= 1-0.25 = 0.75 = 75%
2. y= 0.8(1.8)^x
The equation represents exponential growth because the growth factor is greater than 1.
==> 1+r = 1.8
==> r= 0.8 = 80%
3. y= 17(1/5)^x
The equation represents exponential decay because 1/5 is less than 1.
==> 1-r = 1/5
==> r= 1- 1/5 = 4/5 = 0.8= 80%