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Unit Rates
Unit Rates
Solve Proportion
Scale Drawings
Similar Figures
100
Two questions: 150 miles on 6 gallon of gasoline....................105 students in 3 classrooms.
1st question: 150/6 = 25 miles per gallon.......2nd question:....105 / 3 = 35 students per on classroom.
100
Two questions: 1st question: 116 letters in 4 days............. 2nd question: 120 problems in 5 hours.
1st: 116 letters / 4 days = 29 letters per day.............2nd: 120 problems / 5 hours = 24 problems in one hour
100
State whether the two ratios are proportional or not.Two questions: 1st: 9/5 and 27/15.....................2nd: 6/18 and 9/25.
1st: Cross multiply and get 135 and 135 so YES they are proportional.................2nd: Cross multiply and get 150 and 162 so no they are NOT proportional.
100
1 in = 9 feet.........how tall is a tree model if the tree is 45 feet tall in real life?
Set up a proportion: 1/9 = x/45......x=5
100
See figures 1 and 2 on different document
x = 6 and x =10
200
Two questions: 1st: You paid $360 for 4 junk tvs..........2nd: 5 pounds will cost you $2.49.
1st: 360/4 = 90 and ..............2nd: 2.49/5 = 0.498
200
Two questions: 1st: 150 miles on 6 gallons of gas. ......2nd: 160 students in 4 classes.
1st: 150/6 = 25 miles on one gallon of gas............2nd: 160/4 = 40 students in one class
200
Solve: 3/v = 5/15
cross multiply and divide to get v=9
200
A football field is drawn on a piece of paper for the coach to map out plays. In real life, the field is 120 years long, but on the paper every 1 inch represents 20 yards of the real field. What is the measurement of the field on the paper?
Set up a proportion: 1/20 = x/120 and solve to get x=6
200
See figure 3 on the different document
x = 25
300
You pay $4.99 for 6 cans of soup and $7.99 for 10 cans of soup. Which is the better buy?
Find the unit rate for each: 4.99/6=.83 cents and 7.99/10 = .79 cents per can. So the 6 CANS is better.
300
Find the unit rate: 363 miles in 6 hours and 425 miles in 5 hours.
363/6 = 0.5 miles in one hour and.........425/5 = 85 miles in one hour.
300
Question: Alexandria earns $123.44 for working 29 hours at her job at Wal-Mart. If she works for 39 hours, how much will she be paid?
Set up a proportion: 123.44 / 29 and x / 39.............x = $166.00.
300
If a house has a architectural drawing scale of 0.5 inch represents 1.5 feet and the drawing length of the living room is 5 feet, what is the length in real life?
Set up a proportion: The scale is 0.5/1.5 while the actual length is 5 feet. so 0.5/1.5 = 5 / x.........x = 15
300
See problems 4 & 5 on different document
RSTU and x = 7
400
Which is better, paying $60 for 4 used video games or $75 for 6 used video games?
60/4= $ 15 per game and.........75/6 = $12.50 per game so the cheaper deal is to buy 6 games for 12.50.
400
If David can type 330 words in 25. How many words can he type in 1 minute?
Unit Rate. 330words/ 24 minutes = 13.2 words in 1 minute
400
Solve 18/a = 3/36
cross multiply and divide to get a=216
400
If the length of a highway is 900 miles and the scale is represented with 1 inch = 82 miles. What is the length of the highway on the map?
Set up a proportion: 1/82 = x/900 and solve for x to get 900/82 = x=10.975
400
A picture measuring four inches wide and five inches long is enlarged to make a wall mural. If the mural is 120 inches wide, how long is the mural?
Set up a proportion: 4 in / 5 in = 20 in / x x = 24
500
Which is better....Option 1: Paying $21.50 for 4 pounds of chicken strips or Option 2: $15.10 for 3 pounds of chicken strips.
Option 1: 21.50 / 4 = 5.375 per pound.........Option 2: 15.10 / 3 = 5.033 per pound.................OPTION 2 is the better choice
500
If 260 people got the new xbox game in 20 minutes. How many games did they give away every minute?
Divide 260/20 = 13 games given away in one minute.
500
Solve two proportions: 650/6.5 = z/5 and..........2.8/4 = 7/j
1st: z= 500 and........2nd: j=10
500
An airplane measures 97 feet in real life. If a scale is drawn with every 2 inches representing 15 feet. How long is the scale drawing of the airplane?
Set up a proportion: 2 / 15 = x / 97 and sove for x. x = 12.93 inches
500
Tabitha wants to find the height of the flagple at school. One morning, she determines the flagpole casts a shadow of 12 feet. If she is 5 feet tall and casts a shadow of 3 feet, what is the height of the flag pole?
Set up a proportion: X / 5 = 12 / 3 60 / 3 x = 20 feet.