Mathematics: A population of bacteria can be modeled by the function f(t)= 400(0.98)t, where t is time in hours. What is the rate of change in the function?

A population of bacteria can be modeled by the

Ответ:

bigg3826

19.01.2022

Mathematics

$\dfrac{d(f(t))}{dt}=-8.08(0.98)^t$

Step-by-step explanation:

We are given the following function:

f(t)= 400(0.98)^t

The function gives the population of bacteria in time, t where t is in hours.

We have to find the rate of change in function.

Rate of change =

$\dfrac{d(f(t))}{dt} = \dfrac{d}{dt}(400(0.98)^t)\\\\\dfrac{d(f(t))}{dt} = 400(\ln 0.98)(0.98)^t\\\\\dfrac{d(f(t))}{dt}=-8.08(0.98)^t$

is the required rate of change in function.

Differentiation property used:

$\dfrac{d}{dx}(a^x) = (\ln a)a^x$

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Ответ:

destineenikole175

13.06.2021

Mathematics

)Based on the data provided in Michelle's table, use complete sentences to explain how the average rate of change in Boynton Beach's rainfall for the years 2004-2013 can be found. Use the data provided in the table to calculate the average rate of change in precipitation.

2.)Use complete sentences to explain what the average rate of change means in terms of the average rainfall.

Step-by-step explanation:

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A population of bacteria can be modeled by the function f(t)= 400(0.98)t, where t is time in hours. What is the rate of change in the function?

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