math 10 lesson #2 inverse variation mrs. goodman
TRANSCRIPT
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Math 10Lesson #2
Inverse Variation
Mrs. Goodman
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Inverse Variation
y = k/x
k is the constant
y is inversely proportional to x
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Inverse Variation
What would this relationship look like if we solved the equation for k?
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Graph of Inverse Variation
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Inverse Variation
How could we describe the inverse variation
relationship in our own words?
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Inverse Variation
As one variable INCREASES, the other variable…..
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Example
The amount of time it takes for an ice cube to melt
varies inversely with the temperature
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Example
a) How could we write an equation to represent
this relationship?b) If it takes 4 hours to melt one block of ice at
52 degrees, find the value of k.
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Direct vs. Inverse
X 5 10 20 40 80 160
320
Y 4 8 16 32 64 128
156
X 25 50 60 100
150
Y 8 4 3.33
2 1.33
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Direct vs. Inverse
Which table of values represents direct variation and which table of values
represents inverse variation?
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Ideas
Can you think of other real life examples of inverse
variation?
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Reflection Questions
y = k/x
1)How will the value of y change as x increases?
2)If the value of x doubles, how will the value of y
change?
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That’s all for today!
Thanks for working hard!
See you next time!