Question 136563This question is from textbook Mathematical Excursions
: Can you help me solve this? I get lost when it comes to putting word problems together.
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.
This question is from textbook Mathematical Excursions
Answer by ankor@dixie-net.com(22740)   (Show Source):
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.
:
It's not hard
:
The cost of the house, f(x), is the total of the square feet cost + the fixed cost
f(x) = 85x + 30000
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To find the cost of an 1800 sq/ft house, just substitute 1800 for x in the above equation:
f(x) = 85(1800) + 30000
f(x) = 153000 + 30000
f(x) = $183,000 is the cost of a 1800 sq/ft house
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