Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

How would you do this maths question?

The variables x and y and the constants a and b are real and positive. The variables x and y are related.

A graph of log y against log x is drawn.

For which one of the following relationships will this graph be a straight line?

1) y^6=a^x
2) y=ab^x
3) y^2=a + x^b
4) y=ax^b
5) y^x=a^b

Thanks a lot :smile:

:smile:

Make log(y) the subject by taking the log of both sides.

So for a it would be

6\log(y)=x\log(a)

and this is not of the form

\log(y)=m\log(x)+c

so the answer is not a.

Do this for the rest and see which are of the form

\log(y)=m\log(x)+c

(edited 7 years ago)

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