document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986824>Question 986824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a devastating freeze destroyed roughly 65% of California Central Valley's orange crop. As a result of the freeze, an orange that cost $0.50 before the freeze would cost $1.50 after the freeze. Model the price c of an orange as a linear function of the percentage p of the crop that was destroyed. (Hint: When 0% of the crop was destroyed, the price was $0.50.)<BR>\n" );
document.write( "(a) Determine the vertical and horizontal intercepts of the graph of the implied linear function algebraically. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607615 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose a devastating freeze destroyed roughly 65% of California Central Valley's orange crop. As a result of the freeze, an orange that cost $0.50 before the freeze would cost $1.50 after the freeze. Model the price c of an orange as a linear function of the percentage p of the crop that was destroyed. (Hint: When 0% of the crop was destroyed, the price was $0.50.)<BR>\n" );
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document.write( "You have 2 points relating percent of damage and price:: (0,50),(65,150)<BR>\n" );
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document.write( "Form:: P = mD + b where P is price and D is percent of damage.<BR>\n" );
document.write( "slope = (150-50)/(65-0) = 100/65 = 20/13<BR>\n" );
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document.write( "Price when D is zero = 50<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "P = (20/13)D + 50<BR>\n" );
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document.write( "(a) Determine the vertical and horizontal intercepts of the graph of the implied linear function algebraically.<BR>\n" );
document.write( "Vertical intercept:: Let D = 0, then Price = 50<BR>\n" );
document.write( "Horizontal intercept:: Let Price = 0, then D = -50*13/20 = -(5/2)13<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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