Algebra 1 7-7 Guided Practice: Exponential Growth and Decay

By Matt Richardson
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Last updated about 2 years ago
21 Questions
10
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.
F.IF.8.b
A.CED.2
10
2.
Take Note: Define growth factor.

5
3.
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
5
4.
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
5
5.
Take Note: Assume that the equation represents an exponential growth function and fill in the blank.
10
6.
Problem 1 Got It?
F.IF.8.b
A.CED.2
10
7.
Vocabulary: Define compound interest in your own words.
10
8.
Take Note: What is compound interest?

5
9.
Consider compound interest equation.

A=P(1+\frac{r}{n})^{nt}

What does the parameter A represent?
5
10.
Consider compound interest equation.

A=P(1+\frac{r}{n})^{nt}

What does the parameter P represent?
5
11.
Consider compound interest equation.

A=P(1+\frac{r}{n})^{nt}

What does the parameter r represent?
5
12.
Consider compound interest equation.

A=P(1+\frac{r}{n})^{nt}

What does the parameter n represent?
5
13.
Consider compound interest equation.

A=P(1+\frac{r}{n})^{nt}

What does the parameter t represent?
10
14.
Problem 2 Got It?
F.IF.8.b
A.CED.2
F.LE.1.c
10
15.
Take Note: Define decay factor.

5
16.
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
5
17.
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
5
18.
Take Note: Assume that the equation represents an exponential decay function and fill in the blank.
10
19.
Problem 3 Got It?
F.IF.8.b
A.CED.2
10
20.
Problem 3 Got It?
F.IF.4
F.IF.8.b
A.CED.2
F.LE.5
10
21.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?