2. Modeling with Linear Functions, Linear Systems, & Exponential Functions

2.01 Graphing systems of equations

2.02 Solving systems of equations with the substitution method

2.03 Solving systems of equations with the elimination method

2.04 Solving systems of equations with a variety of methods

2.05 Applications of linear systems

2.06 Graphing linear inequalities in two variables

2.07 Systems of inequalities

2.08 Functions and relations

2.09 Domain and range and set notation

2.10 Evaluating functions

2.11 Modeling linear relationships

2.12 Review: Laws of exponents

2.13 Exponential growth and decay

Investigation: Comparisons of simple and compound interest

2.15 Compound interest

2.16 The slope formula

2.17 Transformations of y=x

Investigation: Exploring slopes and equations of lines

Investigation: Relationship between shoulder span and height

2.18 Slope-intercept form

2.19 Standard form

2.20 Point-slope form

2.21 Comparing linear relationships

2.22 Comparing exponential relationships

2.23 Comparing linear and exponential relationships

2.24 Review: Slope as rate of change

2.25 Key features of quadratic functions

2.26 Graphing quadratic functions

2.27 Quadratic functions and technology

2.28 Extension: Absolute value equations

2.29 Extension: Absolute value inequalities

2.30 Graphs and characteristics of absolute value functions

United States of America NJ

Algebra 1

2.13 Exponential growth and decay

Interactive practice questions

Consider the function $y=0.68\left(1.6\right)^x$y=0.68(1.6)x.

a

Identify what type of function this is:

Exponential growth

A

Exponential decay

B

b

What is the rate of growth?

Easy

1min

Consider the function $y=0.98\left(0.2\right)^x$y=0.98(0.2)x.

Easy

< 1min

The local $rat$ population numbers approximately $750$750 and is increasing at a rate of $3%$3% per year.

Easy

1min

$Luigi$ purchased a $sculpture$ for $\$2900$$2900, and it is expected to increase in value by $9%$9% per year.

Easy

3min

Outcomes

A.SSE.B.3.C

Use the properties of exponents to transform expressions for exponential functions.

A.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

F.IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F.BF.A.1

Write a function that describes a relationship between two quantities.

F.BF.A.1.A

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

F.LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

F.LE.B.5

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

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