Question

Enter an equation for the function. Give your answer in the form a(b)". In the event that a = 1, give your

Answer 1

Answer:

$r(n)=14,000(0.50)^n$

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

$r=a(1-r)^n$

where

r is the number of bacteria remaining

n is the number of hours since the  antibiotic was applied

a is the initial value

r is the rate of change

we have

$a=14,000\ bacteria\\r=50\%=50/100=0.50$

substitute

$r(n)=14,000(1-0.50)^n$

$r(n)=14,000(0.50)^n$