SOLUTION: On Monday, Lassister began monitoring the size of a bacteria colony. He noted that the mass of the colony grew from 5 grams at 8am to 6.5 grams at 2 PM.
a) find the value for k a
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: On Monday, Lassister began monitoring the size of a bacteria colony. He noted that the mass of the colony grew from 5 grams at 8am to 6.5 grams at 2 PM.
a) find the value for k a
Log On
Question 1034815: On Monday, Lassister began monitoring the size of a bacteria colony. He noted that the mass of the colony grew from 5 grams at 8am to 6.5 grams at 2 PM.
a) find the value for k and write an exponential growth function that estimates the mass M of the bacteria colony t hours after 8 AM Monday.
b) What will the mass be at 6 PM Monday?
c) To the nearest hour, at what time will the mass of the growing colony reach 15 grams?
please explain.
You can put this solution on YOUR website! The formula for the growth rate is FA(final amount)=IA(initial amount)*(1+r(growth rate))^t. So:
a)6.5=5*(1+r)^6
1.3=(1+r)^6
1.3^.166666667=1+r
1+r=1.0446975079232772081587297735437
r=.0446975079232772081587297735437 as the growth rate of the bacteria. So:
M(1)=M(0)(1.044697508)^t
b)M=5*(1.044697508)^10
M=5*1.5484799527553624553339254907836=7.742399763776812276669627453918 gms. ☺☺☺☺
You can put this solution on YOUR website! a) find the value for k and write an exponential growth function that estimates the mass M of the bacteria colony t hours after 8 AM Monday.
--------------------------------------------------------------------------------------
(