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.