A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the chemical after t dN days is given by = -0.069N. dt a) Let No represent the amount of the substance present at t= 0. Find the exponential function that models the decay b) Suppose that 700 g of the substance is present at t= 0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 700 g of the substance remain? a) N(t) = b) After 2 days, g will remain.
A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the chemical after t dN days is given by = -0.069N. dt a) Let No represent the amount of the substance present at t= 0. Find the exponential function that models the decay b) Suppose that 700 g of the substance is present at t= 0. How much will remain after 2 days? c) What is the rate of change of the amount of the substance after 2 days? d) After how many days will half of the original 700 g of the substance remain? a) N(t) = b) After 2 days, g will remain.
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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Transcribed Image Text:A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the chemical after t
dN
days is given by = -0.069N.
dt
a) Let No represent the amount of the substance present at t = 0. Find the exponential function that models the decay.
b) Suppose that 700 g of the substance is present at t = 0. How much will remain after 2 days?
c) What is the rate of change of the amount of the substance after 2 days?
d) After how many days will half of the original 700 g of the substance remain?
a) N(t) =
b) After 2 days,g will remain.
(Round to the nearest whole number as needed.)
g/day.
c) After 2 days, the rate of change is
(Round to one decimal place as needed.)
d) Half of the substance will remain after days.
(Round to one decimal place as needed.)
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