# Math

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DID I do this right?

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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