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Enter an equation for the function. Give your answer in the form a(b)". In the event that a = 1, give your
answer in the form (b)".
A pharmaceutical company is testing a new antibiotic. The number of bacteria present in a sample when
the antibiotic is applied is 14000. Each hour, the number of bacteria present decreases by half. The
number of bacteria remaining r(n) is an exponential function of the number n of hours since the
antibiotic was applied.

Respuesta :

calculista

Answer:

[tex]r(n)=14,000(0.50)^n[/tex]

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

[tex]r=a(1-r)^n[/tex]

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

[tex]a=14,000\ bacteria\\r=50\%=50/100=0.50[/tex]

substitute

[tex]r(n)=14,000(1-0.50)^n[/tex]

[tex]r(n)=14,000(0.50)^n[/tex]

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