The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true? P(t) = 60(3)^t/2

A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day

A

Step-by-step explanation:

Given

P(t) = 60

Then

P(1) = 60 × = 60

P(2) = 60 × 3 = 180

P(3) = 60 × = 60 × = 60 × 3 = 180

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × = 60 × = 60 × 9 = 540

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4