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

By Matt Richardson
Last updated over 2 years ago
21 Questions
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
2.

Take Note: Define growth factor.


3.

Take Note: Assume that the equation represents an exponential growth function and fill in the blank.

4.

Take Note: Assume that the equation represents an exponential growth function and fill in the blank.

5.

Take Note: Assume that the equation represents an exponential growth function and fill in the blank.

6.

Problem 1 Got It?

F.IF.8.b
A.CED.2
7.

Vocabulary: Define compound interest in your own words.

8.

Take Note: What is compound interest?


9.

Consider compound interest equation.

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

What does the parameter A represent?

10.

Consider compound interest equation.

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

What does the parameter P represent?

11.

Consider compound interest equation.

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

What does the parameter r represent?

12.

Consider compound interest equation.

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

What does the parameter n represent?

13.

Consider compound interest equation.

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

What does the parameter t represent?

14.

Problem 2 Got It?

F.IF.8.b
A.CED.2
F.LE.1.c
15.

Take Note: Define decay factor.


16.

Take Note: Assume that the equation represents an exponential decay function and fill in the blank.

17.

Take Note: Assume that the equation represents an exponential decay function and fill in the blank.

18.

Take Note: Assume that the equation represents an exponential decay function and fill in the blank.

19.

Problem 3 Got It?

F.IF.8.b
A.CED.2
20.

Problem 3 Got It?

F.IF.4
F.IF.8.b
A.CED.2
F.LE.5
21.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?