Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Solution Summary: The author calculates the remaining amounts of the radioactive element after different values of time t using the equation.
Strontium-90
90
Sr
is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with
90
Sr
. if
10
μg
(micrograms) of
90
Sr
is present in a sample, the function
A
t
=
10
1
2
t
/
28.9
gives the amount
A
t
in μg
present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5)
Write an equation for the polynomial graphed below. It will probably be easiest to leave your "a" value as a
fraction.
8
7
+
9+
H
6
5
4
3
+ 3
2
1
(-30)
(-1,0)
(1,0)
(3,0)
+
-5
-4
-3
-2
2
3
4
7 2
-1
-2
3 (0,-3)
f(x) =
456
-4
-5
-6+
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