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Higher Math Performance Task Fall 2014Name: Date: Period: 1. Use the information in table 2 to plot data points for Massachusetts speeding fines. Plot a point to represent the fine for driving 5 mph.

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How to use or fill out the Performance Task In General Math Grade 11 online

Completing the Performance Task in General Math for Grade 11 can enhance your understanding of mathematical concepts such as graphing and equation creation. This guide provides a systematic approach to filling out the form online and ensures that users can navigate each section comfortably.

Follow the steps to successfully complete the form.

  1. Click ‘Get Form’ button to access the Performance Task document and open it in your editing interface.
  2. Fill in your name, date, and period at the top of the form to personalize your submission.
  3. For question 1, refer to the provided table that outlines the Massachusetts speeding fines. Carefully plot the data points for each increment of 5 mph over the speed limit, starting at 5 mph up to 45 mph.
  4. Move to question 2, where you will need to create an equation to calculate the speeding fine for 1 to 10 mph over the limit. Make sure to define the variable 'f' for the fine and 'm' for the miles over the limit.
  5. Proceed to question 3. Here, develop an equation for the speeding fine when 'm' is greater than 10 mph. Ensure clarity in your equation for accurate calculation.
  6. For question 4, analyze the graph showing New York speeding fines. Draw two line segments based on the provided data: one segment for 1 to 20 mph over and another for 20 to 40 mph over.
  7. In question 5, use one of the line segments from question 4 to formulate an equation for the speeding fine when 'm' is between 1 and 20 mph.
  8. In question 6, again use one of the line segments from question 4 to create an equation for the speeding fine when 'm' exceeds 20 mph.
  9. Finally, address question 7, where you will evaluate whether the proposed New York speeding fine model is fairer. Provide a well-reasoned explanation using examples drawn from your completed task.
  10. Once all sections have been filled out, review your document for completeness and accuracy. Save your changes, and if necessary, download, print, or share the completed form.

Start filling out the Performance Task online to enhance your math skills and understanding!

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The real numbers are an ordered field, with P = {x ∈ R : x > 0}.

In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. The basic example of an ordered field is the field of real numbers, and every Dedekind-complete ordered field is isomorphic to the reals.

Definition of an ordered field: An ordered field is a field containing a subset of elements closed under addition and multiplication and having the property that every element in the field is either 0, in the subset, or has its additive inverse in the subset.

An ordered set is a set S in which an order is defined. He also defined order in his book: Let S be a set. An order on S is a relation, denoted by <, with the following two properties: If x, y ∈ S then one and only one of x < y, x = y, x > y is true.

ordered set, we can have x ~ y . An "ordered field" however, is usually taken to be a totally ordered field -- so without extra conditions, x~y => x=y . "Partially ordered fields" have been studied, but you have to specify what conditions you mean.

The answer must be (b) the rational numbers. The rational numbers are a sub-field of the real numbers, and inherit the order of the latter, most basic example of an ordered field.

Rational numbers are an ordered field The integers do not form a field! They almost do though, but just don't have multiplicative inverses (except that the integer 1 is its own multiplicative inverse – it is also the multiplicative identity).

A set F together with two operations + and ⋅ and a relation < satisfying the 13 axioms above is called an ordered field. Thus the real numbers are an example of an ordered field. Another example of an ordered field is the set of rational numbers Q with the familiar operations and order.

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