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Kristen Karbon

University of Michigan - Ann Arbor

Biography

Kristen has been a math teacher in Troy, Michigan for over 30 years. She has taught courses from grade 6 math to Precalculus. She served as the district mathematics coordinator for 7 years. Kristen has been a speaker at numerous state and national conferences.

Education

BA Mathematics
University of Michigan - Ann Arbor

Topics Covered

Probability
Graphs and Statistics
An Introduction to Geometry
Equations and Inequalities
Functions
Linear Functions
Polynomials
Systems of Equations and Inequalities
Introduction to Algebra
Solve Linear Inequalities
Linear Equations and Functions
Linear Equations and Inequalities
The Language of Algebra
Exponential and Logarithmic Functions
Absolute Value Equations and Inequalities and More on Solving Systems
Transformations
Complex Numbers
Rational Functions
Quadratic Equations
Factoring Polynomials
Fractions and Mixed Numbers
Percent
Algebra Topics That are Reviewed at the Start of the Semester
Quadratic Functions

Kristen's Textbook Answer Videos

01:02
College Algebra

For the following exercises, use this scenario: The population $P$ of an endangered species habitat for wolves is modeled by the function $P(x)=\frac{558}{1+54.8 e^{-0.42 x}},$ where $x$ is given in years.

Use the intersect feature to approximate the number of years it will take before the population of the
habitat reaches half its carrying capacity.

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
01:24
College Algebra

For the following exercises, refer to Table 7.
$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {1125} & {1495} & {2310} & {3294} & {4650} & {6361}\end{array}$$

Use the regression feature to find an exponential function that best fits the data in the table.

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
01:11
College Algebra

For the following exercises, refer to Table 7.
$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {1125} & {1495} & {2310} & {3294} & {4650} & {6361}\end{array}$$

Graph the exponential equation on the scatter diagram.

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
01:06
College Algebra

For the following exercises, refer to Table 8.
$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {555} & {383} & {307} & {210} & {158} & {122}\end{array}$$

Use a graphing calculator to create a scatter diagram of the data.

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
01:30
College Algebra

For the following exercises, refer to Table 8.
$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {555} & {383} & {307} & {210} & {158} & {122}\end{array}$$

Write the exponential function as an exponential equation with base e.

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
00:42
College Algebra

For the following exercises, refer to Table 8.
$$\begin{array}{ccccccc}{x} & {1} & {2} & {3} & {4} & {5} & {6} \\ {f(x)} & {555} & {383} & {307} & {210} & {158} & {122}\end{array}$$

Use the intersect feature to find the value of $x$ for which $f(x)=250$ .

Chapter 6: Exponential and Logarithmic Functions
Section 8: Fitting Exponential Models to Data
Kristen Karbon
1 2 3 4 5 ... 123

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