A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the chemical after t dN days is given by = -0.067N. 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 400 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 400 g of the substance remain?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the chemical after t
dN
days is given by = -0.067N.
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 400 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 400 g of the substance remain?
Transcribed Image Text:A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the chemical after t dN days is given by = -0.067N. 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 400 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 400 g of the substance remain?
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