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Chapter 3: Problem 42

What does it mean if two quantities vary inversely?

Short Answer

Expert verified
Inverse variation or inverse proportionality means that as one quantity increases, the other decreases at a rate that keeps their product constant.

Step by step solution

01

Defining Inverse Variation

Inverse variation, also known as inverse proportionality, is a concept in mathematics that describes a relationship between two variables where their product is constant.
02

Explanation With Formula

If one variable is a and the other variable is b, we say that a and b are inversely proportional if \( a \times b = k \), where k is a constant. This means that as a increases, b decreases in such a way that their product always remains the same.
03

Real Life Example

For instance, the speed needed to travel a certain distance and the time it takes to travel at that speed are inversely proportional. The faster you go (increase speed), the less time it will take (decrease time), but the product (distance) remains the same.

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Most popular questions from this chapter

Exercises 113鈥�115 will help you prepare for the material covered in the next section. Divide 737 by 21 without using a calculator. Write the answer as quotient \(+\frac{\text { remainder }}{\text { divisor }}\)

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What is meant by the end behavior of a polynomial function?

In Exercises 104鈥�107, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of a function with origin symmetry can rise to the left and rise to the right.

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