Proportions
True or false: A proportion is an equation that states that two ratios are either equivalent or NOT equivalent.
What is: false? The proportions must be equivalent.
Two figures are similar if they have the same shape, but not the same __________.
What is: Size?
True or false? All states within the US have sales tax.
What is: False?
True or false: A coupon is another word for a discount.
What is: True?
Markdowns ADD or SUBTRACT money from an original selling price?
What is: SUBTRACT money/get money off?
Use the cross products method to see if the following two ratios are proportional/equivalent.
3/9, 60/180
What is: They are proportional/equivalent? (540)
Look at the following similar shapes to figure out what the value of the missing side is. (draw picture)
What is: (Depends on the picture)?
Convert 4.5% sales tax into a decimal.
What is: 0.045?
Find the new price of an item that is $50.00, with a 50% off coupon used on it.
What is: $25.00?
The _____________ ___________ shows the ratio of the lengths of similar figures.
What is: scale factor?
Use the cross products method to see if the following ratios are equivalent/proportional.
8/14, 32/50
What is: Not equivalent/proportional?
Draw two squares; one square has dimensions of 2x5 and the other has dimensions after using a scale factor of 4 on the first square.
What is: A square with dimensions of 8x20?
Calculate the sales tax on buying a t-shirt for $19.99 in Vermont, where the sales tax rate is 6%.
What is: $1.20? (19.99 x 0.06)
How much more money is added on to a record that is originally $37.00, with a 20% markup?
What is: $7.40 is added on to the original selling price?
What is the cross products method? Define it in your own words.
What is: (depends on students' answers)?
Jennifer babysat on Friday and made $52.50 in 6 hours. On Sunday, she babysat for 4 hours and made $35. Was the amount she earned each day proportional to the number of hours that she worked?
What is: Yes, it was/is proportional?
Is a square that is 5x15 and another square that is 100x300 proportional? Explain your answer.
What is: Yes? The squares have a scale factor of 20 (5x20=100; 15x20=300).
Calculate the sales tax on these three items: running shoes ($89.00), socks ($7.66), and visor ($12.50) in Utah, which is 4.7%.
What is: $5.13 (109.16 x 0.047)?
What is the new price of a book that is $13.50, with a markdown of 30%?
What is: $9.45?
What are the dimensions of a second triangle to an original triangle with side lengths of 3, 4, and 5, and a scale factor 7?
What is: 21, 28, and 35?
Create two ratios that are proportional.
What is: (Depends on the two ratios given?)
While you were at the Arboretum, you received a map of the hiking trails. You can use the following scale to calculate the length of various trails. 1.5 inches: .25 mile While you were there over the weekend, you had lots of time to hike the Oak Tree loop. If it measured 30 inches on the map, how long was it? Set up a proportion for this word problem.
What is: 1.5 inches/.25 miles = 30 inches/x ?
What is the FINAL cost of these four items, with the sales tax added on: large pizza ($18.00), liter of soda ($2.99), cups (11.23), and napkins ($5.00) in Texas, with a 6.25% tax.
What is: $2.33 (sales tax) + 37.22 (total) = $39.54?
Jana bought 2 pairs of socks, each for $3.95. Since she bought two pairs, she got the 3rd pair for 15% off.
1) How much did she pay in total?
2) How much did she get off of the third pair of socks with the discount?
What is: 59 cents off of the third pair; she paid $11.26 in total?
1) Add up the cost of 5 items bought at the grocery store ($8.00, $4.50, $24.99, $105.99, and $67.80).
2) Find the sales tax for these items if bought in California (7.25% sales tax).
3) You also used a 25% off coupon after the sales tax was added on. Calculate the final cost you will pay at the cash register.
What is: 1) $211.28, 2) $15.32, and 3) $56.65 off; final price is $169.95?