Question

Write an equation to describe the variation. Use k for the constant of proportionality.

Answer 1

Answer:

The equation of variation is a t = k or  a = $\frac{k}{t}$

Step-by-step explanation:

Inverse variation is a relationship between two variables which can be modeled by an equation where the product of two variables is equal to a constant, and this  constant is called constant of proportionality

Ex: if y varies inversely with x ⇒ y ∝ $\frac{1}{x}$

The equation is y = $\frac{k}{x}$ OR  yx = k, where k is the constant of proportionality

∵ a varies inversely as t

∴ a ∝ $\frac{1}{t}$

- Put them in the equation by using k the constant of proportionality

∴ a = $\frac{k}{t}$

- Multiply both sides by t

∴ a t = k

The equation of variation is a t = k  or  a = $\frac{k}{t}$