document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43441>Question 43441</A>: <I><SPAN STYLE=\"word-break: break-all;\">      In Pennsylvania, the state income tax is directly proportional to gross income. Suppose you were working in Pennsylvania and your state income tax deduction was $43.50 for a gross monthly income of $1500. Which of the following mathematical models gives the Pennsylvania state income tax, y, in terms of gross income x?\r<BR>\n" );
document.write( "\n" );
document.write( "  a. y = 0.029x    <BR>\n" );
document.write( "  b. y = 34.48x    <BR>\n" );
document.write( "  c. y = x/0.029    <BR>\n" );
document.write( "  d. y = -34.48x    <BR>\n" );
document.write( "  e. None of the others    <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28456 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=28456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, write the equation of proportionality:<BR>\n" );
document.write( "Since the income tax, y is directly proportional to the gross income, x, you can write:\r<BR>\n" );
document.write( "\n" );
document.write( "y = kx where k is the constant of proportionality:\r<BR>\n" );
document.write( "\n" );
document.write( "To find the value of k, just substitute the given values of y (state income tax = $43.50) and x (gross income = $1500) and solve for k.\r<BR>\n" );
document.write( "\n" );
document.write( "$43.50 = k($1500) Divide both sides by $1500.<BR>\n" );
document.write( "k = 0.029\r<BR>\n" );
document.write( "\n" );
document.write( "The final equation is then:\r<BR>\n" );
document.write( "\n" );
document.write( "y = 0.029x </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );