Determine if its a growth or decay.Then find the percent increase of decrease. 1.y=16(.25)^x 2.y=0.8(1.28)^x 3.y=17(1/5)^x''.
- print Print
- list Cite
Expert Answers
hala718
| Certified Educator
calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
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%
Then, the decay percent is 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%
Then, the growth percent is 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%
Then, the decay percent is 80%
Related Questions
- Find the annual percent increase or decrease that `y=0.35(2.3)^x ` models.
- 1 Educator Answer
- `y = xsqrt(16-x^2)` Identify the open intervals on which the function is increasing or...
- 1 Educator Answer
- What is the double integral of:f(x,y)=e^(x+y) when R is the area bounded by y=x+1, y=x-1, y=1-x,...
- 1 Educator Answer
- Find the domain and range of the following: y = x^2 , y = sqrt(1 – x^2), y = 1/x, y = sqrt(x) , y...
- 2 Educator Answers
- Solve for x if 1/8=16^x.
- 1 Educator Answer