Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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1. Interpret the quote in the context of what you think is the difference between a house and a home. 2. A rectangular room measures 13 feet by 15 feet. It is going to be car- peted with carpeting that sells for $68 per square yard. a. What is the area of the room in square feet? b. If the room is drawn to - inch represents 1 foot scale, give the dimensions of the room in inches on the scale drawing. c. A yard equals 3 feet. How many square feet are in a square yard? d. How many square yards will it take to carpet the room? Round up to the next greater integer. e. What is the total price for the carpeting? f. In the early mid-2000s, there was a dramatic increase in the price of carpeting, since it was a petroleum-based product. As a result, selling by the yard made it look expensive. Some stores started selling carpet by the square foot. How much would a square yard of carpet selling for $8.95 per square foot cost? g. This room is well-insulated and is on the south side of the house. It has an 8-foot-high ceiling. How large an air conditioner would this room require? Round to the nearest thousand BTUS. 3. A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically. b. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically. 4. A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the area of the larger wall. d Find the total area of the faur walls int DELL
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Transcribed Image Text:1. Interpret the quote in the context of what you think is the difference between a house and a home. 2. A rectangular room measures 13 feet by 15 feet. It is going to be car- peted with carpeting that sells for $68 per square yard. a. What is the area of the room in square feet? b. If the room is drawn to - inch represents 1 foot scale, give the dimensions of the room in inches on the scale drawing. c. A yard equals 3 feet. How many square feet are in a square yard? d. How many square yards will it take to carpet the room? Round up to the next greater integer. e. What is the total price for the carpeting? f. In the early mid-2000s, there was a dramatic increase in the price of carpeting, since it was a petroleum-based product. As a result, selling by the yard made it look expensive. Some stores started selling carpet by the square foot. How much would a square yard of carpet selling for $8.95 per square foot cost? g. This room is well-insulated and is on the south side of the house. It has an 8-foot-high ceiling. How large an air conditioner would this room require? Round to the nearest thousand BTUS. 3. A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically. b. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically. 4. A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the area of the larger wall. d Find the total area of the faur walls int DELL
selling carpet by the square foot. How much would a square yard of carpet selling for $8.95 per square foot cost? g. This room is well-insulated and is on the south side of the house. It has an 8-foot-high ceiling. How large an air conditioner would this room require? Round to the nearest thousand BTUS. 3. A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically. b. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically. 4. A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the area of the larger wall. d. Find the total area of the four walls in the room. e. If a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room with two coats of paint? Explain your answer. f. This room is well-insulated and is on the north side of the house. How large an air conditioner would this room require? Round to the nearest thousand BTUS. com 5. A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot. b. Find the area of the gazebo. c. Find the cost of the gazebo's floor if the flooring costs $3 per square foot. Round to the nearest hundred dollars. DELL
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Transcribed Image Text:selling carpet by the square foot. How much would a square yard of carpet selling for $8.95 per square foot cost? g. This room is well-insulated and is on the south side of the house. It has an 8-foot-high ceiling. How large an air conditioner would this room require? Round to the nearest thousand BTUS. 3. A rectangular room has length L and width W, where L and W are measured in feet. a. Express the area in square feet algebraically. b. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically. 4. A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. a. Find the length and width of the smaller wall. b. Find the area of the smaller wall. c. Find the area of the larger wall. d. Find the total area of the four walls in the room. e. If a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room with two coats of paint? Explain your answer. f. This room is well-insulated and is on the north side of the house. How large an air conditioner would this room require? Round to the nearest thousand BTUS. com 5. A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot. b. Find the area of the gazebo. c. Find the cost of the gazebo's floor if the flooring costs $3 per square foot. Round to the nearest hundred dollars. DELL
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