Topics
5. Exponential Functions
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United States of AmericaTennessee
Algebra 1

5.04 Percent growth and decay

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $f\left(x\right)=6\left(1-0.09\right)^x$f(x)=6(1−0.09)x.

a

Identify what type of function this is.

Exponential growth

A

Exponential decay

B
b

State the initial amount.

c

State the decay rate as a percentage

Easy
1min

Consider the function $f\left(x\right)=599\left(1+0.808\right)^x$f(x)=599(1+0.808)x.

Easy
1min

Consider the graph of an exponential function.

Medium
1min

Consider the graph of an exponential function.

Medium
1min
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Outcomes

A1.A.SSE.A.1

Interpret expressions that represent a quantity in terms of its context.*

A1.A.SSE.A.1.B

Interpret complicated expressions by viewing one or more of their parts as a single entity.

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.F.IF.C.9

Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.*

A1.F.BF.A.1

Build a function that describes a relationship between two quantities.*

A1.F.BF.A.1.A

Determine steps for calculation, a recursive process, or an explicit expression from a context.

A1.F.LE.A.1.C

Recognize situations in which a quantity grows or decays by a constant factor per unit interval relative to another.

A1.F.LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a table, a description of a relationship, or input-output pairs.*

A1.F.LE.B.3

Interpret the parameters in a linear or exponential function in terms of a context.*

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP5

Use appropriate tools strategically.

A1.MP6

Attend to precision.

A1.MP8

Look for and express regularity in repeated reasoning.

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