Answer:
The equation of variation is a t = k or a = [tex]\frac{k}{t}[/tex]
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 ∝ [tex]\frac{1}{x}[/tex]
The equation is y = [tex]\frac{k}{x}[/tex] OR yx = k, where k is the constant of proportionality
∵ a varies inversely as t
∴ a ∝ [tex]\frac{1}{t}[/tex]
- Put them in the equation by using k the constant of proportionality
∴ a = [tex]\frac{k}{t}[/tex]
- Multiply both sides by t
∴ a t = k
The equation of variation is a t = k or a = [tex]\frac{k}{t}[/tex]
