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

Last updated about 4 years ago

21 Nsɛmmisa

10

Laabri

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

Last updated about 4 years ago

21 Nsɛmmisa

10

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

10

Take Note: Define growth factor.

5

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

Growth Factor

Initial Amount

Exponent

5

10

Problem 1 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

10

Vocabulary: Define compound interest in your own words.

10

Take Note: What is compound interest?

5

10

Problem 2 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

F.LE.1.c

10

Take Note: Define decay factor.

5

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

Decay Factor

Exponent

Initial Amount

5

10

Problem 3 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

10

Problem 3 Got It?

A

B

C

D

A.CED.2

F.IF.4

…

10

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

10

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

Take Note: Define growth factor.

5

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

Growth Factor

Initial Amount

Exponent

5

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

Exponent

Growth Factor

Initial Amount

5

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

Growth Factor

Initial Amount

Exponent

10

Problem 1 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

Vocabulary: Define compound interest in your own words.

10

Problem 2 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

F.LE.1.c

Take Note: Define decay factor.

5

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

Decay Factor

Exponent

Initial Amount

5

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

Exponent

Decay Factor

Initial Amount

5

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

Initial Amount

Exponent

Decay Factor

10

Problem 3 Got It?

A

B

C

D

A.CED.2

F.IF.8.b

10

Problem 3 Got It?

A

B

C

D

A.CED.2

F.IF.4

…

10

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

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

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

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.

Initial Amount

Exponent

Decay Factor

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

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

Take Note: Define growth factor.

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

Problem 1 Got It?

Vocabulary: Define compound interest in your own words.

Take Note: What is compound interest?

Problem 2 Got It?

Take Note: Define decay factor.

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

Problem 3 Got It?

Problem 3 Got It?

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

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?

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?

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?

Problem 3 Got It?

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

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.

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?

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.

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?

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?