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

By Matt Richardson
Last updated almost 3 years ago
21 Questions

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

Take Note: Define growth factor.


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

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

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

Problem 1 Got It?

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

Vocabulary: Define compound interest in your own words.

Take Note: What is compound interest?


Consider compound interest equation.

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

What does the parameter A represent?

Consider compound interest equation.

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

What does the parameter P represent?

Consider compound interest equation.

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

What does the parameter r represent?

Consider compound interest equation.

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

What does the parameter n represent?

Consider compound interest equation.

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

What does the parameter t represent?

Problem 2 Got It?

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

Take Note: Define decay factor.


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

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

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

Problem 3 Got It?

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

Problem 3 Got It?

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

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