Lesson 8 Variation

We will formulate and solve equations involving variation.
I will summarize how to formulate and solve equations involving variation.
TEKS 2A.6L

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Lesson 8 Variation

Math Response

Type the equation, using "y=" and no spaces.

Type answer here

Correct Answer: y=\frac{1}{x+1}+3

Deg^°

Rad

​y=mx is the most basic form of variation. You have heard of it as slope many times. What makes this different is there is no "b" or "y-intercept" that we discuss. Why? Simply put we are discussing how one variable affects the other.

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You have been working with variation since day 1 of algebra 1....

Notice for the last two types in the table there is no graph pictured... Why is that?

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Four major types of variations

Open Ended

Why is there no graph depicted in the last two types of variations?

Dropdown

Example 1A variation is:

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Example 1B variation is: ​

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Example 1C variation is:​

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Multiple Choice

Example 1A equation should look like:

• $$y=\frac{40}{x}$$

• $$y=40x$$

• $$z=40xy$$

• $$z=\frac{40}{x}y$$

• $$z=\frac{40}{y}x$$

Multiple Choice

Example 1B equation should look like:

• $$y=\frac{8}{x}$$

• $$y=8x$$

• $$z=8xy$$

• $$z=\frac{8}{x}y$$

• $$z=\frac{8}{y}x$$

Let's work through this one together

Dropdown

Example 2A: The variation equation is​

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, y =​

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when x = 15, and finally, x =​

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when y = 72.

Read the question carefully for context clues.

Try this one on your own

Dropdown

Example 2B: The variation equation is​

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, y =​ ​

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when x = 3, and finally, x =​ ​

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when y = 2.

Let's add another dimension...

Open Ended

Type a quick summary in your words of the lesson today.

Poll

Rate your understanding on a scale of 1-5 how you feel you understood variation.

• 5 - Easy peasy!

• 4 - It's understandable enough

• 3 - I feel I need more practice

• 2 - Definitely felt a little lost today but starting to grasp it

• 1 - I did not understand what was happening other than it looked like magic....