Application of Exponential Functions: Population Growth
Properties of Rational Functions
Here is a handout with some of the significant definitions and properties related to rational functions.
Linear Modeling Applications
Maximize Enclosed Rectangular Area
Evaluating Inverse Functions with a graph
Domain and Range of Inverse Functions
Application of Systems of Linear Equations
Problem:
Benjamin & Associates, a real estate developer, recently built condominiums in McCall, Idaho. The condos were either two-bedroom units or three-bedroom units. If the total number of bedrooms in the entire complex is 498, how many two-bedroom units are there? How many three-bedroom units are there?
Solution:
Assign variables to the values we are looking for in the equation.
Let x be the number of two-bedroom units.
Let y be the number of three-bedroom units.
Create equations using the information given in the problem.
Since there are 199 condos built in the complex, the number of two-bedroom units plus the three bedroom units should equal the total units of 199.
Since there are a total of 498 bedrooms in the complex, represents number of bedrooms coming from two-bedroom units, and represents number of bedrooms coming from three-bedroom units, the number of bedrooms from two-bedroom units plus the number of bedrooms from three-bedroom units should equal to the total number of bedrooms of 498.
Solve the system of equations.
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y represents the number of three-bedroom units. There are 100 three-bedroom units.
x represents the number of two-bedroom units. There are 199-100=99 two-bedroom units.
Polynomial Equation (Solve by factoring with the grouping method)
Example: Solve the polynomial equation
Solution: Solve the polynomial equation by factoring.
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or or or or |
The solutions to the polynomial equation are or or .
Solving a Quadratic Equation using the Quadratic Formula: Example 1 of 1
Example: Solve the quadratic equation with the quadratic formula.
Solution:
The solutions to the quadratic equation are and .