The document discusses the concept of inverse variation through several examples: - If 5 cats can catch 5 mice in 5 days, then 3 cats can catch 3 mice in 5 days (example 1) - As one quantity such as time increases, the other such as velocity decreases in inverse variation examples involving a cyclist, runner, jogger and walker (examples 3-5) - According to Ohm's Law, the current in a wire is inversely proportional to the resistance - as one increases, the other decreases (examples 6-8).

1. Inverse Variation
If 5 cats can catch 5 mice in 5 days, how many days does it
take 3 cats to catch 3 mice?
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2. If 5 cats can catch 5 mice in 5 days, how many mice can they
catch in one day?
Now, if 5 cats catch 1 mouse in 1 day, How many days would it
take 1 cat to catch 1 mouse?
And finally, since 1 cat catches 1 mouse in 5 days, if you have
three times as cats, they'll catch three times as many mice in the
same amount of time.
So 3 cats catch ____ mice in 5 days.
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3. Inverse Variation
As one quantity increases the other decreases.
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4. An experiment was conducted involving a cyclist, runner, jogger
and walker each completing a journey of 40 km. The results of the
experiment are recorded in the table shown below.
dep variable:
ind variable:
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5. 5

6. This is called an inverse variation
The velocity varies inversely with time
Where k is a constant of variation
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7. 7

8. According to Ohm's Law, the current (A) flowing in a wire is
inveresely proportional to the resistance of the wire. If the
current is 5 amperes when the resistance is 24 ohms, what is
the current when the resistance is 3 ohms?
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9. Assignment 3
Page VI­F­12
Questions 1 ­ 7
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