Question

The population of this bacteria in the range measured can be modeled as a(t)=195(1.31)ᵗ, where t is given in days. to the nearest whole number, what will the bacteria population be after 4 days?

The bacteria population will be

Answer 1

The bacteria population after 4 days, modeled by the function a(t) = 195(1.31)^t, is approximately 572 when rounded to the nearest whole number.

Step-by-step explanation:

The question pertains to the exponential growth of a bacteria population, which can be modeled by the function a(t) = 195(1.31)t, where t is the time in days. To determine the population after 4 days, we substitute 4 for t in the equation:

a(4) = 195(1.31)4

To calculate a(4), we need to raise 1.31 to the power of 4 and multiply the result by 195:

a(4) = 195 × (1.31 × 1.31 × 1.31 × 1.31)

a(4) ≈ 195 × 2.93521

a(4) ≈ 572.36695

After rounding to the nearest whole number:

a(4) ≈ 572

Therefore, the bacteria population will be approximately 572 after 4 days.