Answer:
[tex]y=175(0.8)^t[/tex]
Step-by-step explanation:
Given : The initial value is 175 and the rate of decay is 20%
To find : Exponential functions represents a given situation.
Solution :
The general form of exponential function when decay is there
[tex]y=a(1-r)^t[/tex]
Where,
y is the final amount
a is the initial value
r is the rate of decay
t is the time
(1-r) is the decay factor
According to given situation,
Initial value a=175
Decay rate is 20%
r=20%=0.2
Substitute the value,
[tex]y=175(1-0.2)^t[/tex]
[tex]y=175(0.8)^t[/tex]
