Answer:
The mass of the sample after six days will be of 319.24 grams.
Step-by-step explanation:
The exponential growth model for the mass of a substance after t days is:
[tex]M(t) = M(0)e^{rt}[/tex]
In which M(0) is the initial mass and r is the increase rate, as a decimal.
A sample increases continuously at a relative rate of 11% per day.
This means that [tex]r = 0.11[/tex]
Find the mass of the sample after six days if there were 165 grams of the substance present at the beginning of the study.
This is M(6) when M(0) = 165.
[tex]M(t) = M(0)e^{rt}[/tex]
[tex]M(6) = 165e^{0.11*6}[/tex]
[tex]M(6) = 319.24[/tex]
The mass of the sample after six days will be of 319.24 grams.
