Question

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What is an example of a direct variation?

What is an example of an inverse variation?

Where and how are these used in science and engineering?

Answer 1

Answer: Direct variation - y = kx Inverse variation - y = k/x

Step-by-step explanation: Direct variation is used when a function is directly proportionate by a constant variable. Inverse variation is used when a function is inversely proportionate by a constant variable. Direct variation can be used to calculate salaries, time, or distance relating to a constant variable that is graphed as a straight line. Inverse variation can be used to calculate populations relating to a constant variable that is graphed as a curve.

Answer 2

An example of the direct variation will be Voltage = Resistance x Current. And an example of the inverse variation will be Speed = Distance / Time.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

An example of the direct variation will be

Voltage = Resistance x Current

If the voltage is increased then the current flowing in the conductor also increases.

An example of the inverse variation will be

Speed = Distance / Time

If the speed is increased then the time taken to travel the same distance decreases.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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