Scaled Drawings
An architect made a drawing to represent a swimming pool, the length is 5in. and the width is 4in. If the scale is 1 inch = 3 feet, what are the dimensions of the actual swimming pool?
What is: Length of 15 feet, Length of 12 feet?
Determine the simple interest on a $450 loan at 7% for 2 years.
What is: $63?
Kimberly is buying a jacket. The price of the jacket is $150, she has a cupon for $25 off and has to pay a sales tax of 7%. How much did Kimberly pay for her jacket?
What is $133.75?
A group of 50 students were polled about the type of animal they like the best and the results are below:
dog 29
cat 16
Bunny 15
What inference can you make about dogs if there are 250 students in the population?
What is about 145 students favorite animal would be a dog?
An architect is drawing a scaled drawing of a living room, he uses the scale 1 in = 2.5 ft.
If the real dimensions of the living room are 15 ft long. by 12 ft wide. What are the dimensions of the living room on the scaled drawing?
What is 6 in. long and 4.8 in wide?
On an architect’s drawing of a house, 1 inch represents 1.5 feet. If the bedroom window is 5 inches long on the drawing and 4 inches wide…
Part A: What are the actual dimensions of the window on the real house?
Part B: What is the perimeter and area of the window in real life?
What is: Part A: Length of window: 7.5 feet, width of window 6 feet?
Part B: perimeter is: 27feet
Area is: 45 square feet
Find the simple interest of a $24,000 loan at 5.5% for 5 years
What is: $6600?
What is $76.50?
A telephone company is completing a survey on if their customers would like free texting or unlimited data. They randomly choose 20% of their customers to poll. Is this a valid poll? Explain.
What is: Yes, this is valid because they randomly chose the people from their customer base to poll, and their population is their customers?
Jackie went to a store to buy a new phone. The phone costs $650. She had a coupon for 15% off and then needed to pay a 7% sales tax. How much did Jackie pay for her new phone?
What is $591.18?
The scale on a map is 2 cm: 21 km.
If the real length is 94.5 km, find the length shown on the map. (Hint: use a proportional relationships: 2cm/21km = xcm/94.5km)
What is: 9cm?
Sara puts $4,000 into an investment yielding 5% annual simple interest; she left the money in for five years. How much interest does Sara get at the end of those five years?
What is: Sarah will earn $1000?
Herman is buying some paint for his house. Herman has to buy 6 gallons of paint. Each gallon costs $24. Herman has a cupon for $3 off each gallon, and needs to pay 6.5% sales tax. How much did Herman pay for his paint?
What is $134.19?
Cami is saving money, the money she saves is proportional to the weeks she works and can be represented by: y=35x, where y is the money she is saving and x is the number of weeks she works. Julie is saving money as well, the constant of variation or "proportionality" for her savings is 33. Which person saves the most money per week? How do you know?
What is: Cami saves more money than Julie, Cami saves 35 dollars per week and Julie saves 33 dollars per week. Cami saves $2 more per week than Julie?
A survey of 50 students in an elementary school showed that 23% wanted more of a choice of food in the cafeteria. From this data, what can you infer about the entire student population which is 750 students?
What is: I can infer that about 173 students would like more choice of food in the cafeteria?
On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be on the actual house?
What is: 35 feet?
$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the principal invested?(Use proportional Reasoning!)
What is 4 years?
Last season a basketball player shot the ball 260 times. He 3/5 of the shots he made were 2 pointers. He missed 20% of his shots. The rest were 3 pointers. How many 3 pointers did he make?
What is 52?
A survey was taken at a local grocery store asking customers if they would like for the store to have more cashiers. Fifty patrons were surveyed and 23% of those surveyed would like for the store to have more cashiers. It was determined that on average 240 patrons shop at this store each day. From this population, about how many people would want the store to have more cashiers?
What is: about 55 people would like for the store to have more cashiers?
Find the slope of a line that falls on the coordinates (1, 5) and (2, 10).
What is: The slope of the line is 5? the slope is the change in y over the change in x, (10-5)/(2-1) = 5/1 or 5.
Jake is planning on getting a horse and needs to fence in an area of his yard for his horse. Jake created a drawing showing the dimensions of the area he wants to fence in and uses the scale 1.5 in = 12 feet. If Jake's drawing shows a length of 15 in and a width of 14 in. What is the permieter in feet that he will need to fence in?
What is: 464 ft.?
Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest. How long was the money invested?
What is 3 years?
Karen wants to buy a hat. Store A has the hat priced at $32 with a 15% discount. Store B has the same hat for $34 with a $5 coupon off the price of the hat. Where should Karen buy her hat? Explain.
What is: Karen should buy her hat at Store A because she will pay $27.20. If she buys her hat at Store B, she will pay $29, she will save $1.80 if she buys her hat from Store A.
Rico wants to do a survey in his middle school to find out what the students favorite sport is. There are 724 students in his school. The choices are football, baseball, soccer, or lacrosse. Rico surveys 20 of his friends in his math class. He finds that the favorite sport is soccer. Part A: Is this a valid survey? Explain. Part B: How should Rico take his survey?
What is: Part A: This is not a valid survey, Rico should take more data and survey more students at his school, not just his friends.
Part B: Rico could put all students that are in his school's names in a hat and pull about 50 students names to poll.
Find the slope of the line that passes through the points (2,7) and (2,-6).
What is: The slope is undefined.