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Algebra 1 7-7 Complete Lesson: Exponential Growth and Decay

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Last updated almost 6 years ago
25 Nsɛmmisa
10
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F.IF.8.b
F.LE.1.c
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F.IF.8.b
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15
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100
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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.

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2.

Problem 1 Got It?

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3.

Vocabulary: Define compound interest in your own words.

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4.

Problem 2 Got It?

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F.IF.8.b
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5.

Problem 3 Got It?

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6.

Problem 3 Got It?

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F.IF.4
F.IF.8.b
F.LE.1.c
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F.IF.4
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F.IF.4
F.IF.8.b
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10.
F.IF.4
F.IF.8.b
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11.
A.CED.2
F.IF.8.b
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13.

Reasoning: How can you simplify the compound interest formula when the interest is compounded annually? Explain.

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14.

Error Analysis: A student deposits $500 into an account that earns 3.5% interest compounded quarterly. Describe and correct the student's error in calculating the account balance after 2 yr.

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15.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Yɛayi Graphing asɛmmisa type foforo a wɔatu mpɔn adi! Asuafo rentumi mmua saa asɛmmisa yi bio.
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Review Lesson 7-6: Graph the function on the canvas. Include all relevant graph detail.

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18.

Review Lesson 3-4: Match each value with

  • -5

  • -1

  • 0

  • 2

  • 8

  • 7x + 2 < 16

  • (1/2)t - 4 ≥ -3

  • -0.08 > 0.35k - 0.15

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19.

Review Lesson 4-7: Write an explicit formula for each arithmetic sequence on the canvas.

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20.

Vocabulary Review: Match each situation and the equation that models it.

  • A person begins with $100 and earns $2 each day.

  • A person begins with $2 and earns $100 each day.

  • A person begins with $100. Each day the money doubles.

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21.

Use Your Vocabulary: Use the words in the left column to correctly complete each sentence on the right.

  • compound interest

  • simple interest

  • principal

  • The amount of money deposited in an account is the __?__.

  • The amount of money earned on an investment only is __?__.

  • Interest earned on both the principal and the interest left in the account is __?__.

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22.

Use Your Vocabulary: Use the situation below and identify the principal, interest rate, time in years, and balance.

  • 1200

  • 1.25

  • 5

  • 1276.9

  • Principal

  • Interest rate

  • Time in years

  • Balance

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23.

Use Your Vocabulary: Classify the values based on whether they could be a growth factor or decay factor.

  • 85%

  • 3

  • 1/2

  • 1.05

  • 100%

  • 0.93

  • 1

  • Growth factor

  • Decay factor

  • None of these

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24.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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25.

Reflection: Math success