#### Transcript of Designing a Roller Coaster

**Designing a Roller Coaster**

Task/Introduction: Almost everyone has ridden or at least seen a roller coaster in action. Did you know that there is a connection between roller coasters and the algebra you have been studying in this unit? Engineers rely on their knowledge of algebra to design roller coasters to make them both thrilling and safe at the same time. Use these websites to learn how algebra is involved in roller coasters designs, or use an Internet search engine and key in roller coasters and algebra to find other websites. For this project you or your group will use your knowledge of algebra functions to analyze how engineers use algebra functions to design a rollercoaster. You will use websites to explore the design of other roller coasters, and then create your own rollercoaster, identify key points, and create graphs to describe the layout of the track.

By: Alexa Dwomoh

Definitions

A function is a relationship or expression involving one or more variables. A proportional function is a function where the response variable is equal to constant times the explanatory variable. In a proportional function, the output is equal to the input times a constant. Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Any function that isn’t linear is called a nonlinear function.

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My Rollercoaster

Conclusion

My rollercoaster is non-proportional and non-linear because it's not a straight line. My rollercoaster is non-proportional because because it isn't a straight line and it doesn't pass through the slope.

What my rollercoaster is

My rollercoaster is non-proportional and non-linear.

Algebra functions

In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.

Non-linear definition: In mathematics, a nonlinear system of equations is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one.

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