Question

Using your own words, explain direct and inverse proportionality. (Be sure to use complete sentences.)

Answer 1

The number of pencils is directly proportional to the cost. ... Two values x and y are inversely proportional to each other when their product xy is a constant (always remains the same). This means that whenx increases y will decrease, and vice versa, by an amount such that xyremains the same.

Answer 2

Direct and Inverse proportionality was discussed with examples.

Direct proportionality: Direct proportionality means the change of a similar kind.

For example, as pressure increases, density also increases, which means both the parameters (pressure and density) are experiencing a similar kind of change i.e. increment in their magnitude.

What is the constant of proportionality?

The constant of proportionality is the ratio that relates two given values.

For example, Density ∝ pressure

Density = k(Pressure)

Here k  is the constant of proportionality

Inverse proportionality: Inverse proportionality means the change of the opposite kind.

For example, as the population increases, natural resources decrease, which means parameters(population and natural resources) are experiencing the opposite kind of change i.e one is increasing other is decreasing.

Thus, Direct and Inverse proportionality were discussed with examples.

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