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{ = }(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{ = }(5)/(15) \\ \Rightarrow K=3 \end{gathered}`

Thus,

`\begin{gathered} K=(x)/(y) \\ 3\text{ = }(x)/(y) \\ \Rightarrow x\text{ = 3y ----- equation 2} \end{gathered}`

Thus, for a horse who has lived 16 years

x = 16