n 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of radioactive cesium-137. The following model calculates the remaining amount of cesium-137 in the atmosphere x years after 1986. Find for the following: Year x (years since 1986) f(x) 2006 20 2026 40 2046 60 2066 80 2086 100 2106 120 2126 140 If 100 kg or more of cesium-137 is considered unsafe for humans, when will this area be safe again (you may give an estimate based on your table of values above or find the exact value from a graphing utility)? What is the y-intercept for this function and what does it represent? Is this a growth or decay function?
n 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of radioactive cesium-137. The following model calculates the remaining amount of cesium-137 in the atmosphere x years after 1986. Find for the following: Year x (years since 1986) f(x) 2006 20 2026 40 2046 60 2066 80 2086 100 2106 120 2126 140 If 100 kg or more of cesium-137 is considered unsafe for humans, when will this area be safe again (you may give an estimate based on your table of values above or find the exact value from a graphing utility)? What is the y-intercept for this function and what does it represent? Is this a growth or decay function?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 43E
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In 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of radioactive cesium-137. The following model calculates the remaining amount of cesium-137 in the atmosphere x years after 1986.
Find for the following:
Year |
x (years since 1986) |
f(x) |
2006
|
20
|
|
2026
|
40
|
|
2046
|
60
|
|
2066
|
80
|
|
2086
|
100
|
|
2106
|
120
|
|
2126
|
140
|
|
If 100 kg or more of cesium-137 is considered unsafe for humans, when will this area be safe again (you may give an estimate based on your table of values above or find the exact value from a graphing utility)? What is the y-intercept for this function and what does it represent? Is this a growth or decay function?
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