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April 18, 2014

April 18, 2014

Posted by **H... ASAP** on Thursday, November 19, 2009 at 6:31pm.

A homeowner wanted to improve the value of his home by putting tile flooring in three of his rooms. He researched the different types of tile and decided on two types: ceramic tile and decorative tile.

He found that he could purchase the ceramic tile for $5.00 per square foot installed and the decorative tile would be $6.00 per square foot installed.

Use this information to answer the following questions.

Write an expression that would represent the cost of ceramic tile (use ¡°c¡± to represent the ceramic tile)

C=$5.00s^2, or c=$5.00(L¡ÁW)¡depending on whether the room is a square or rectangle

Write an expression that would represent the cost of the decorative tile (use ¡°d¡± to represent the decorative tile)

d=$6.00s^2, or d=$6.00 (L¡ÁW)¡

Depending on whether the room is a rectangle or square

The homeowner is planning to spend no more than $6,000 for the flooring. Write an inequality that demonstrates how much money he is willing to spend for the two types of tile.

C¡Ü$6000

He decides to tile Room 1 and Room 2 with ceramic tile only. The dimensions of Room 1 are 30 feet by 30 feet and the dimensions of Room 2 are 10 feet by 12 feet. Write an expression that would represent the total cost of the two rooms and find the solution.

Room 1: First I calculate total square feet by figuring out the area¡ A=s^2¡30¡Á30=900¡¼ft¡½^2

Now I figure out cost by calculating the cost of square footage:

Cost=price per square foot multiplied by the number of square feet.

$5.00¡Á900¡¼ft¡½^2=$4,500

Solution for room 1 is: $4,500

Room 2: Again, I need to calculate total square feet by finding the

Area...A=L¡ÁW: 10¡Á12=120 square feet

Now, I figure out cost by calculating the cost of square footage:

Cost=price per square foot multiplied by the number of square feet

$5.00¡Á120=600

Solution for room 2 is $600

Now, to find the total cost of the two rooms; I would add the total cost of room1 ($4,500) and the total cost of room 2($600) together:

$4,500+$600=$5,100

There is one more room he would like to tile with just decorative tile. Given how much he has spent on the previous two rooms; write an inequality that represents the maximum amount of money he has to spend on the decorative tile.

The owner wants to spend no more than $6,000 on flooring; he has already spent $5,100.

We subtract $5,100 from $6,000 to see how much money he has left to spend on the flooring, or the maximum he has left: $6,000-$5,100=900

An inequality that would represent the maximum amount would be: d ¡Ü to $900

The dimensions of Room 3 are 8 feet by 12 feet. Find the total area of the room and determine, using the inequality from #5, if he has enough money to tile Room 3 with the decorative tile.

I need to calculate total square feet by finding the

Area...A=L¡ÁW: 8¡Á12=96 square feet

Now, I figure out cost by calculating the cost of square footage:

Cost=price per square foot multiplied by the number of square feet.

$6.00¡Á96=$576

576<900

Therefore, the homeowner has enough money to use the decorative tile for room

three.

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