document.write( "Question 256953: If your number is 2.75 you received $250 if your number is at 3.0 you receive $350. If your number is 2.82, How much do you get? \n" ); document.write( "

Algebra.Com's Answer #188994 by drk(1908) $\"\"$ $\"About$

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We have coordinates here:
\n" ); document.write( "(2.75, 250) and (3.0, 350)
\n" ); document.write( "step 1 - find the slope using
\n" ); document.write( " $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "putting our coordinates in, we get
\n" ); document.write( " $\"m+=+%28350-250%29%2F%283-2.75%29\"$
\n" ); document.write( " $\"m+=+100%2F.25\"$
\n" ); document.write( " $\"m+=+400\"$
\n" ); document.write( "step 2 - find b using y = mx + b as
\n" ); document.write( " $\"y+=+mx+%2B+b\"$
\n" ); document.write( " $\"350+=+3%2A%28400%29+%2B+b\"$
\n" ); document.write( " $\"b+=+-850\"$
\n" ); document.write( "the equation of the line is
\n" ); document.write( " $\"y+=+400x+-+850\"$
\n" ); document.write( "Now let x = 2.82. We get
\n" ); document.write( " $\"y+=+2.82%2A400+-+850\"$
\n" ); document.write( " $\"y+=+278\"$ \n" ); document.write( "

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