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

Last updated almost 4 years ago

21 questions

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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.

Question 2

2.

Take Note: Define growth factor.

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Question 6

6.

Problem 1 Got It?

A

B

C

D

Question 7

7.

Vocabulary: Define compound interest in your own words.

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Question 8

8.

Take Note: What is compound interest?

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Question 14

14.

Problem 2 Got It?

A

B

C

D

Question 15

15.

Take Note: Define decay factor.

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5

5

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Question 19

19.

Problem 3 Got It?

A

B

C

D

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Question 20

20.

Problem 3 Got It?

A

B

C

D

…

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Question 21

21.

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

Question 3

3.

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

Growth Factor

Initial Amount

Exponent

Question 4

4.

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

Exponent

Growth Factor

Initial Amount

Question 5

5.

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

Growth Factor

Initial Amount

Exponent

Question 9

9.

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)

Question 10

10.

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

Question 11

11.

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

Question 12

12.

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

Question 13

13.

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

Question 16

16.

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

Decay Factor

Exponent

Initial Amount

Question 17

17.

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

Exponent

Decay Factor

Initial Amount

Question 18

18.

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

Initial Amount

Exponent

Decay Factor