ExponentialEquationsCalc Problem 6 The growe era certain bac

ExponentialEquations-Calc: Problem 6 The growe era certain bacteria can be modeled by where AMe) is the number of bacteria andt represents 1 what the number ound the nearest whole number el batsmin 2 What a the number baciaria 20 minutes? (round the toarstwhole number of 3 How long wil take for Rumber of bartera ta double Recal the change or base tormula tor logarthma log,(A) be d Note: Kou can eam pasal eredit on he

Solution

A(t)=800e^0.0063t

a. 800 represents the initial number of bacteria

b. t=20

A(20)=800e^0.0063*20 =903 bacterias

Double means A(t)=1600

1600=800e^0.0063t

2=e^0.0063t

ln 2=0.0062t

t=110mins