Ratios
Unit Rate
Proportional or Not?
Solving Proportions
Word Problems
100
Write 6 girls to 8 boys as a ratio in 3 ways.
6/8, 6 to 8, 6:8
100
What is a unit rate?
A rate that has a denominator of 1 unit.
100
2/3 and 4/6
Yes, proportional, 2 x 6 = 12, 3 x 4 = 12 (checking with cross products) The ratios are equivalent.
100
Solve for x. x/6 = 6/9
x = 4
100
Anna earns $12 in 3 hours. How much does she make in 5 hours?
$20 $12 / 3 hours = $x / 5 hours
200
Write 10 limes to 6 lemons as a ratio in 3 ways.
10:6, 10/6, 10 to 6
200
If James types 120 words per 3 minutes, what is his rate of typing?
What is 40 words per minute
200
1/7 and 2/6
Not Proportional, 1 x 6 = 6 and 2 x 7 = 14 (cross products) The ratios are NOT equivalent.
200
Solve for x. x/2 = 9/6
x = 3
200
Ramon gets 10 points in 4 games. How many does he get in 6 games?
15 points 10 pts. / 4 games = x pts. / 6 games
300
What are 2 other names that mean the same as a constant ratio.
Constant of variation Constant of proportionality Constant rate of change Unit rate
300
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
What is $0.35
300
My graph passes through (0,0), also called the origin, and is a straight line.
Yes proportional.
300
Solve for x. x/6 = 8/12
x = 4
300
If Henry reads 8 pages in 6 minutes, then he reads 4 pages in how many minutes?
3 minutes 8 pages / 6 minutes = 4 pages / x minutes
400
A ______ uses division to compare two numbers.
ratio
400
Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts
What is $24 for 8 t-shirts (rate of $3 per shirt)
400
Bags of chips (x): 0 1 2 3 Total Cost (y): $0 $3 $6 $9 Is this relationship a direct variation? If so, state the constant of variation/constant of proportionality and write your answer in the form Y = ___ x.
Yes! Y = $3x
400
Solve for x. 6/10 = 18/x
x = 30
400
Julia texts 60 words in 4 minutes, then she texts 45 words in how many minutes?
3 minutes 60 words / 4 minutes = 45 words / x minutes
500
Two ratios that have the same value are called ________ ratios.
equivalent
500
Brad can jog 1 and 1/3 miles in 1/4 hour. What is his average speed (unit rate) in miles per hour?
16/3 = 5 and 1/3
500
My graph passes through the y-axis at (0,8) and is a straight line.
Not proportional, graph must pass through the origin for the relationship to be proportional.
500
Solve for x. 3/8 = 15/x
x = 40.
500
Ms. Curtis studies 22 hours for 2 tests, and studies 88 hours for how many tests?
8 tests 22 hrs. / 2 tests = 88 hrs. / x tests
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