The size of a slow-growing bacteria strain increases continuously over time. This equation describes the predicted size of the bacteria strain, in square millimeters, after t minutes: y = 112 (1.58) t. According to the equation, what will the approximate size of the bacteria strain be after 5 minutes?

Question

Colby

Mathematics

22 January, 08:59

The size of a slow-growing bacteria strain increases continuously over time. This equation describes the predicted size of the bacteria strain, in square millimeters, after t minutes: y = 112 (1.58) t. According to the equation, what will the approximate size of the bacteria strain be after 5 minutes?

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Answers (1)

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Ashlee · Answer 1

1102.8 mm^2

Step-by-step explanation:

We presume your equation is intended to be ...

y = 112 (1.58) ^t

Since t is in minutes, fill in the given value and do the arithmetic:

y = 112 (1.58) ^5 = 112 (9.84658) ≈ 1102.8

The approximate size of the bacteria strain will be 1102.8 mm^2 after 5 minutes.