document.write( "Question 136563This question is from textbook Mathematical Excursions
\n" ); document.write( ": Can you help me solve this? I get lost when it comes to putting word problems together.
\n" ); document.write( "A general building contractor estimates that the cost to build a new home is $30,000 plus $85 for each square foot of floor space in the house. Determine a linear function that gives the cost of building a house that contains x square feet of floor space. Use this model to determine the cost to build a house that contains 1800 square feet of floor space. \n" ); document.write( "

Algebra.Com's Answer #100033 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A general building contractor estimates that the cost to build a new home is $30,000 plus $85 for each square foot of floor space in the house. Determine a linear function that gives the cost of building a house that contains x square feet of floor space. Use this model to determine the cost to build a house that contains 1800 square feet of floor space.
\n" ); document.write( ":
\n" ); document.write( "It's not hard
\n" ); document.write( ":
\n" ); document.write( "The cost of the house, f(x), is the total of the square feet cost + the fixed cost
\n" ); document.write( "f(x) = 85x + 30000
\n" ); document.write( ":
\n" ); document.write( "To find the cost of an 1800 sq/ft house, just substitute 1800 for x in the above equation:
\n" ); document.write( "f(x) = 85(1800) + 30000
\n" ); document.write( "f(x) = 153000 + 30000
\n" ); document.write( "f(x) = $183,000 is the cost of a 1800 sq/ft house \n" ); document.write( "

\n" );