SOLUTION: Given the equation y=35(0.57)^x (a) Does this equation represent growth or decay? (b) What is the rate of growth or decay? (c) What is the initial value (d) Evaluate fo

Algebra ->  Finance -> SOLUTION: Given the equation y=35(0.57)^x (a) Does this equation represent growth or decay? (b) What is the rate of growth or decay? (c) What is the initial value (d) Evaluate fo      Log On


   

Question 1136695: Given the equation y=35(0.57)^x
(a) Does this equation represent growth or decay?
(b) What is the rate of growth or decay?
(c) What is the initial value
(d) Evaluate for x=3
(I can tell it is decay, but for the rest I am lost)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
recall:
y=a%2Ab%5Ex
if b%3E1, represents growth function
if 0%3Cb%3C1, represents decay function
you are given
y=35%280.57%29%5Ex
(a) Does this equation represent growth or decay?
since b=0.57=>0%3Cb%3C1, and your function represents decay

(b) What is the rate of growth or decay?

recall: y+=+a%281+-+r%29%5Ex where r is rate of decay, a is initial value
in your case 1+-+r=0.57=>r=1-0.57=>
r=0.43

(c) What is the initial value
a=35

(d) Evaluate for x=3

y=35%280.57%29%5E3
y=35%2A0.185193
y=6.481755