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rick placed 5 strands of bacteria in a petri dish. The bacteria strands triple every hour. write a formula to represent how many bacteria strands are present at the nth hour. Then use the formula to determine how many strands of bacteria are present at 3 hours.
A. F(N)= 3(5)^N; 375 STRANDS OF BACTERIA
B. f(n)=(3)^n;27 strands of bacteria
C. f(n)=5(3)^n;125 strands of bacteria
D. f(n)=3(3)^5n; 50 strands of bacteria

Answer :

Answer:

[tex]f(n) = 5(3)^{n}[/tex] and f(3) = 135.

Step-by-step explanation:

There are 5 strands of bacteria in a petri dish.

Now, the bacteria strands triple every hour.

So, the initial value of the number of bacteria strands is 5 and it get triple i.e. 3 times every hour spent.

So, after 1 hour the number will become 5 × 3 = 15

After 2 hours the number will become 15 × 3 = 45 and so on.

Therefore, the number of bacteria strands will be after nth hour will be

[tex]f(n) = 5(3)^{n}[/tex] and the number of strands after 3 hours will be [tex]f(3) = 5(3)^{3} = 135[/tex]. (Answer)

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