Question

Write an exponential function to represent a situation in which the initial value is 175 and the rate of decay is 20%

Answer 1

Answer:

$P(t)=175(0.80)^{t}$

Step-by-step explanation:

We can use exponential function formula

$P(t)=P_0(1-r)^{t}$

where

r is the rate of decay

Po is initial value

t is time

P(t) value after time(t)

we are given

r=20%=0.20

$P_0=175$

now, we can plug values

$P(t)=P_0(1-r)^{t}$

$P(t)=175(1-0.20)^{t}$

$P(t)=175(0.80)^{t}$

So, we get exponential function as

$P(t)=175(0.80)^{t}$