Proportions/Unit Rates
Constant of Proportionality
Scale Drawings
Percent Equation
Markups, Discounts, Interest
100
Are these 2 ratios proportional? 70/60 = 6/7
No
100
What is the constant of proportionality for the following equation: y = 4.67x.
4.67
100
The scale on a map is inches/miles = 1/50. How many miles is 3.25 inches on the map?
162.5 miles
100
What is the percent equation?
(difference/original) x 100
100
List the 3 steps to solving a markup or discount problem.
Step 1: change percent to decimal Step 2: multiply decimal by original price Step 3: markup = add the product and original, discount = subtract the product from the original
200
Solve the proportion: 3/8 = 21/x
x = 56
200
Reference the table on the board. What is the constant of proportionality?
50 pennies per roll
200
The scale on a map is inches/miles = 1/50. How many miles is 5. 4 inches on the map?
270 miles
200
The value of a building owned by 2 doctors went from $117,500 to $250,000. What is the percent increase in the value?
6%
200
The clownfish that Kay wanted to buy was $12. She went back a week later and it had been marked up 8%. What is the new price of the clownfish?
$12.96
300
Ms. D'Orazio bought 8 tickets for the Haut Gap Talent Show for $56. How much does each ticket cost?
$7 per ticket
300
Reference the graph on the board. What is the constant of proportionality?
10 calories per minute
300
The dimensions of the Roosevelt Room in the White House are 45 ft. x 67.5 ft. If a scale drawing uses a scale of 1/15, what are the scale dimensions of the Roosevelt Room?
3 ft. x 4.5 ft.
300
Judy thought she spent $140 on pet accessories during the year. She actually spent $112 . What was the percent error between the actual amount she spent and her estimate?
25%
300
A doggie day care charges $21.50 per day. If you leave your dog 5 days, the discount is 20%. What is the cost of leaving your dog for 5 days a week?
$86
400
A skateboarder can complete 34 ollies in 30 seconds. How many ollies can they complete in 1 minute?
68 ollies per minute
400
Using the same graph on the board, predict how many calories will be burned after 2 hours?
1200 calories
400
The Declaration of Independence has dimensions of 24.5 ft. x 29.75 ft. Drawn to a 3/4 scale, what are the scale dimensions of the document?
18.375 ft. x 22.3125 ft.
400
It was estimated that a giraffe would be 15.5 feet tall when fully grown. Its actual height was 16.25 feet. What was the percent error between the actual height and the estimated height?
4.62%
400
What is the interest formula? What do each of the letters represent?
I = Prt, p = principle ($ borrowed), r = interest rate (%), and t = time in years
500
Keep in mind that 2.54 cm = 1 in. If the width of a Bugatti is 78.66 inches, what is the width in centimeters? Round to the nearest hundredth.
199.80 centimeters
500
At the library, the average ratio of hardbound books to paperback books on a shelf is 5:3. Use a proportion to predict the number of hardbound books on a shelf that has 75 paperback books on it.
x = 125 hardbound books
500
A sketch of the Superdome in New Orleans is drawn to a 1/15 scale. The sketch shows a height of 16.8 ft and a dome diameter of 45.3 ft. What is the actual height and dome diameter?
height = 252 feet dome diameter = 679.5 feet
500
Ethan owns a very, very fat cat. He thought is weighed 19.25 lbs. It actually weighs 22.5 lbs. What is the percent error between Ethan's estimated weight and the cat's actual weight?
16.9%
500
Angie borrowed $1485 to purchase a new laptop. The interest on the loan was 7.75%. How much interest will Angie pay if the loan is for 2 years?
$230.18