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Algebra 1 7-7 Exponential Growth and Decay
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by Matthew Richardson
| 25 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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10 pts
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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Problem 1 Got It?
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Problem 2 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Vocabulary: How can you tell if an exponential function models growth or decay?
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Reasoning: How can you simplify the compound interest formula when the interest is compounded annually? Explain.
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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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10 pts
Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

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

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

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Review Lesson 3-4: Match each value with
  • 7x + 2 < 16
    Answer by dragging items here
  • (1/2)t - 4 ≥ -3
    Answer by dragging items here
  • -0.08 > 0.35k - 0.15
    Answer by dragging items here
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15 pts
Review Lesson 4-7: Write an explicit formula for each arithmetic sequence.
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Vocabulary Review: Match each situation and the equation that models it.
  • A person begins with $100 and earns $2 each day.
    Answer by dragging items here
  • A person begins with $2 and earns $100 each day.
    Answer by dragging items here
  • A person begins with $100. Each day the money doubles.
    Answer by dragging items here
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10 pts
Vocabulary Review: Match each situation and the equation that models it.
  • A person begins with $100 and earns $2 each day.
    Answer by dragging items here
  • A person begins with $2 and earns $100 each day.
    Answer by dragging items here
  • A person begins with $100. Each day the money doubles.
    Answer by dragging items here
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10 pts
  • The amount of money deposited in an account is the __?__.
    Answer by dragging items here
  • The amount of money earned on an investment only is __?__.
    Answer by dragging items here
  • Interest earned on both the principal and the interest left in the account is __?__.
    Answer by dragging items here
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10 pts
Use Your Vocabulary: Use the situation below and identify the principal, interest rate, time in years, and balance.
  • Principal
    Answer by dragging items here
  • Interest rate
    Answer by dragging items here
  • Time in years
    Answer by dragging items here
  • Balance
    Answer by dragging items here
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10 pts
Use Your Vocabulary: Classify the values based on whether they could be a growth factor or decay factor.
  • Growth factor
    Answer by dragging items here
  • Decay factor
    Answer by dragging items here
  • None of these
    Answer by dragging items here
25
10 pts
Reflection: Math success
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