6.4 Applying Systems DAY 2: Rate Problems - PowerPoint PPT Presentation

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6.4 Applying Systems DAY 2: Rate Problems

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6.4 Applying Systems DAY 2: Rate Problems Essential Question: How do you write and solve rate problems? Solving System Word Problems Systems can be used to solve ... – PowerPoint PPT presentation

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Title: 6.4 Applying Systems DAY 2: Rate Problems


1
6.4 Applying SystemsDAY 2 Rate Problems
  • Essential Question
  • How do you write and solve rate problems?

2
Solving System Word Problems
  • Systems can be used to solve complex word
    problems that involve two or more variables.
  • To solve a word problem
  • Identify important information
  • (underline or circle)
  • 2) Build the two linear equations
  • (use x, y, and important numbers)
  • 3) Determine which method to solve the system
  • (graph, substitute, eliminate)

3
Rate Problems
  • You can use a table to set up a rate problem.
  • Rate problems use the formula D rt
  • Distance Rate x Time
  • Rate equations involve two directions upstream
    and downstream, or headwind and tailwind.
  • Upstream and headwind slow the rate down
  • Downstream and tailwind speed the rate up
  • x usually represents the rate of the person or
    vehicle
  • y usually represents the rate of the wind or
    water.

4
Rate Problem Example
5
Solving Complex Systems
6
Plane Example Rate
  • With a tailwind, an airplane makes a 900-mile
    trip in 2.25 hours. On the return trip, the plane
    flies against the wind (headwind) and makes the
    trip in 3 hours. What is the planes speed? What
    is the winds speed?

7
Practice
  • Hint remember that Ben paddles 3 mph in still
    water.

8
More Practice
  • Hint Notice the units are in minutes and yards,
    so solve the problem using those units.
  • OR Usually we need hours and miles. Therefore, we
    could convert the units.

9
Summary
  • Answer the essential question in detailed,
    complete sentences.
  • How do you write and solve rate problems?
  • Write 2-4 study questions in the left column to
    correspond to the notes.
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