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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

Sagot :

Let x be the lenght, then he walked

[tex]y=x+\frac{1}{4}x[/tex]

By combining similar terms, we get

[tex]y=(1+\frac{1}{4})x[/tex]

now, since

[tex]1+\frac{1}{4}=\frac{4}{4}+\frac{1}{4}=\frac{4+1}{4}=\frac{5}{4}[/tex]

we can write

[tex]y=\frac{5}{4}x[/tex]

thats why both equations express the same sentence.

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