Illustrative Math - Algebra 2 - Unit 4 - Lesson 13

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.

Tags

F.IF.7.a

F.LE.4

F.LE.5

A.SSE.1.b

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?

Tags

F.IF.7.a

F.LE.4

F.LE.5

A.SSE.1.b

The population of a country is growing exponentially, doubling every 50 years. What is the annual growth rate? Explain or show your reasoning.

Tags

F.IF.7.a

F.LE.4

F.LE.5

A.SSE.1.b

Which expression has a greater value: log_{3} \frac{1}{3} or log_{b} \frac{1}{b}? Explain how you know.

Tags

F.IF.7.a

F.LE.4

F.LE.5

A.SSE.1.b

Select all true statements about the number e.

• e is a rational number.
• e is approximately 2.718.
• e is an irrational number.
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• e is exactly 2.718.

Tags

F.IF.7.a

F.LE.4

F.LE.5

A.SSE.1.b