Algebra 1 7-7 Guided Practice: Exponential Growth and Decay
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Last updated about 4 years ago
21 questions
10
10
10
10
Question 1
1.
Solve It! The half-life of a radioactive substance is the length of time it takes for half of the atoms in a sample of the substance to decay. The half-life of uranium-238 is expressed in scientific noation below.
Suppose you have a sample of 1000 uranium-238 atoms. How many atoms of uranium-238 are left after the following number of years?
Enter only the number of atoms.
A.CED.2
F.IF.8.b
Question 2
2.
Take Note: Define growth factor.
5
5
5
10
A.CED.2
F.IF.8.b
Question 7
7.
Vocabulary: Define compound interest in your own words.
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5
5
5
5
5
10
A.CED.2
F.IF.8.b
F.LE.1.c
Question 15
15.
Take Note: Define decay factor.
5
5
5
10
A.CED.2
F.IF.8.b
10
A.CED.2
F.IF.4
…
10
Question 21
21.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 8
8.
Take Note: What is compound interest?
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 16
16.
Question 17
17.
Question 18
18.
Question 19
19.
Question 20
20.
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
Growth Factor
Initial Amount
Exponent
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
Exponent
Growth Factor
Initial Amount
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
Growth Factor
Initial Amount
Exponent
Problem 1 Got It?
A
B
C
D
Consider compound interest equation.
A=P(1+\frac{r}{n})^{nt}
What does the parameter A represent?
the time in years
the annual interest rate (expressed as a decimal)
the number of times interest is compounded per year
the balance
the principal (the initial deposit)
Consider compound interest equation.
A=P(1+\frac{r}{n})^{nt}
What does the parameter P represent?
the annual interest rate (expressed as a decimal)
the balance
the principal (the initial deposit)
the number of times interest is compounded per year
the time in years
Consider compound interest equation.
A=P(1+\frac{r}{n})^{nt}
What does the parameter r represent?
the time in years
the number of times interest is compounded per year
the principal (the initial deposit)
the annual interest rate (expressed as a decimal)
the balance
Consider compound interest equation.
A=P(1+\frac{r}{n})^{nt}
What does the parameter n represent?
the number of times interest is compounded per year
the balance
the annual interest rate (expressed as a decimal)
the principal (the initial deposit)
the time in years
Consider compound interest equation.
A=P(1+\frac{r}{n})^{nt}
What does the parameter t represent?
the number of times interest is compounded per year
the principal (the initial deposit)
the annual interest rate (expressed as a decimal)
the balance
the time in years
Problem 2 Got It?
A
B
C
D
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
Decay Factor
Exponent
Initial Amount
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
Exponent
Decay Factor
Initial Amount
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
