Question

$d$ varies directly as $t$ and inversely as $u^{2}$

   $d$ varies directly as $t$ and inversely as $u^{2}$

Intermediate Algebra

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 8, Problem 72

Instant Answer

Solved by Expert Sanchit Gogia

08/15/2020

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This can be written as $d = kt$, where $k$ is the constant of variation. Show more…

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$d$ varies directly as $t$ and inversely as $u^{2}$

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Key Concepts

Direct Variation

Direct variation refers to a relationship between two variables where one variable is a constant multiple of the other. In this type of relationship, if one variable increases, the other increases as well, and the relationship can be expressed as y = kx, where k is the constant of proportionality.

Inverse Variation

Inverse variation describes a relationship where one variable increases as the other decreases such that the product of the two variables remains constant. This relationship is often written as y = k/x, where k is the constant of proportionality.

Combined Variation

Combined variation occurs when a variable varies directly with one factor and inversely with another factor simultaneously. This concept combines both direct and inverse relationships into a single equation, ensuring that the overall relationship accounts for the effects of both variables on the outcome.

Proportionality Constant

The proportionality constant is the fixed number that relates two variables in direct or inverse variation. It represents the ratio or product that remains constant regardless of the changing values of the variables, ensuring the relationship is maintained according to the given variation rule.

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