document.write( "Question 1120579: if s varies directly as t^2, and s=243 when t=9, find s when t is 8\r
\n" ); document.write( "\n" ); document.write( "a. s=216
\n" ); document.write( "b.s=72
\n" ); document.write( "c.s=192
\n" ); document.write( "d.s=27
\n" ); document.write( "

Algebra.Com's Answer #736260 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "If you have to find the value of s for many values of t, then you will want a formula for s in terms of t. To do that, you need to use the given information to find the constant of proportionality, as the other tutor did.

\n" ); document.write( "For a problem like this, where you are only finding one other value of s, I think it is easier just to consider how the value of s will change, considering the change in the value of t.

\n" ); document.write( "The t value changes fro 9 to 8; it gets multiplied by 8/9.

\n" ); document.write( "s varies directly as t^2; so the value of s will get multiplied by (8/9)^2.

\n" ); document.write( "243 * (8/9)^2 = 243*64/81 = 64*3 = 192

\n" ); document.write( "The value of s when t=8 is 192.
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