Question

What exponential functions represents a situation in which the initial value is 175 and the rate of decay is 20%

Answer 1

Answer:

 $y=175(0.8)^t$      

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

$y=a(1-r)^t$

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,

$y=175(1-0.2)^t$

$y=175(0.8)^t$