Illustrative Math - Algebra 2 - Unit 4 - Lesson 13

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Last updated 2 months ago
14 Questions
1.
2.
3.
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
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
6.
7.
8.
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
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
11.
12.
13.
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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