asked 6.6k views
6 votes
If x varies as y and if x=20 when y=9 , find x when y=18​

1 Answer

8 votes

Answer:1/2 y

Explanation:

We can solve this using ration reasoning:

x

2

x

1

=

y

2

y

1

Explanation:

If

x

varies directly with

y

(written

x

y

), then doubling

y

means doubling

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

24

18

=

12

Or, intuitively, if

x

y

and

x

=

9

when

y

=

18

, we can conclude that

x

=

1

2

y

and

1

2

of 24 is 12.

answered
User Piotr Malec
by
8.7k points

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