Question

Horses age more rapidly than humans.Suppose that the "horse age" and"human age"

Answer 1

Let x represent the horse age

Let y represent the human age

Since the horse age and human age vary directly, we have the relation

$x\text{ }\alpha\text{ y}$

Introducing an equality sign, we

$x\text{ =Ky}$

Where K is a proportionality constant, evaluated as

$K\text{ = }\frac{x}{y}----\text{ equation 1}$

Since a 5-year-old horse is equivalent to 15-year old human,

x = 5

y = 15

we have

$\begin{gathered} K\text{ = }\frac{5}{15} \\ \Rightarrow K=3 \end{gathered}$

Thus,

$\begin{gathered} K=\frac{x}{y} \\ 3\text{ = }\frac{x}{y} \\ \Rightarrow x\text{ = 3y ----- equation 2} \end{gathered}$

Thus, for a horse who has lived 16 years

x = 16