Illustrative Math - Algebra 2 - Unit 4 - Lesson 13
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14 Questions
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4.
The revenue of a technology company, in thousands of dollars, can be modeled with an exponential function whose starting value is $395,000 where time t is measured in years after 2010.
Which function predicts exactly 1.2% of annual growth: R(t)=395*e^{0.012t} or S(t)=395*(1.012)^{t}? Explain your reasoning.
F.IF.7.a
F.LE.4
F.LE.5
A.SSE.1.b
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5.
How are the functions f and g given by f(x)=(1.05)^{x} and g(x)=e^{0.05x} similar?
How are they different?
F.IF.7.a
F.LE.4
F.LE.5
A.SSE.1.b
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9.
The population of a country is growing exponentially, doubling every 50 years.
What is the annual growth rate? Explain or show your reasoning.
F.IF.7.a
F.LE.4
F.LE.5
A.SSE.1.b
1
10.
Which expression has a greater value: log_{3} \frac{1}{3} or log_{b} \frac{1}{b}?
Explain how you know.
F.IF.7.a
F.LE.4
F.LE.5
A.SSE.1.b
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14.
Select all true statements about the number e.
F.IF.7.a
F.LE.4
F.LE.5
A.SSE.1.b
This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/13/index.html ; accessed 27/July/2021.
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