Question

a person walked x feet an then 1/4 that length again. two students wrote different equations to represent this relationship. y=x+ 1/4x and y=5/4 x explain why both are true

Answer 1

Let x be the lenght, then he walked

`y=x+(1)/(4)x`

By combining similar terms, we get

`y=(1+(1)/(4))x`

now, since

`1+(1)/(4)=(4)/(4)+(1)/(4)=(4+1)/(4)=(5)/(4)`

we can write

`y=(5)/(4)x`

thats why both equations express the same sentence.