document.write( "Question 147092: Linda williams has just begun a nusery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruite-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combinations of blueberry bushes and peach trees she can buy for the amount of money she has. explain the graph and her options. \r
\n" ); document.write( "\n" ); document.write( "I know this is a long question but I am so confused with it. Can someone please help? \n" ); document.write( "

Algebra.Com's Answer #107443 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"b\"$ = number of blueberry bushes bought
\n" ); document.write( "Let $\"p\"$ = number of peach trees bought
\n" ); document.write( " $\"2.5b+%2B+5.5p+%3C=+500\"$
\n" ); document.write( "You can plot $\"b\"$ on the y-axis and $\"p\"$ on the x-axis
\n" ); document.write( "First get the equation into the form $\"y+=+mx+%2B+b\"$
\n" ); document.write( "where $\"m\"$ is the slope and $\"b\"$ is the y-intercept
\n" ); document.write( "(just think of it as an equality for now)
\n" ); document.write( " $\"2.5b+%2B+5.5p+=+500\"$
\n" ); document.write( " $\"2.5b+=+-5.5p+%2B500\"$
\n" ); document.write( " $\"b+=+%28-5.5p+%2F+2.5%29+%2B+%28500+%2F+2.5%29\"$
\n" ); document.write( " $\"b+=+-2.2p+%2B+200\"$
\n" ); document.write( "Now I can plot this line
\n" ); document.write( "Remember, $\"b\"$ is the y-axis and $\"p\"$ is the x-axis
\n" ); document.write( " $\"graph%28600%2C+600%2C+-10%2C+120%2C+-10%2C+250%2C+-2.2x+%2B+200%29\"$
\n" ); document.write( "Any point that is within the triangle formed by the axes
\n" ); document.write( "and the line will satisfy $\"2.5b+%2B+5.5p+%3C=+500\"$
\n" ); document.write( "I'll pick a point to check.
\n" ); document.write( "It looks like $\"b+=+16\"$ and $\"p+=+74\"$ falls inside
\n" ); document.write( "the triangle. Now I substitute
\n" ); document.write( " $\"2.5b+%2B+5.5p+%3C=+500\"$
\n" ); document.write( " $\"2.5%2A16+%2B+5.5%2A74+%3C=+500\"$
\n" ); document.write( " $\"40+%2B+407+%3C=+500\"$
\n" ); document.write( " $\"447+%3C=+500\"$
\n" ); document.write( "This is true. Try another point to check. This may not be the
\n" ); document.write( "only way to graph it, but I think its a good way. \n" ); document.write( "

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