Unit Rates
Proportions
Compare Proportional Relationships
Scale Factor
Slope
100
725 miles in 8 hours. How many miles per hour?
(Be sure to round to the nearest whole number)
91 MPH
100
If 12 cupcakes cost $4, how much would 18 cupcakes cost?
18 cupcakes would cost $6.00
100
Terry's pay is represented by the table above and Jessie's by the equation y=11.50x
Which person makes more?
Jessie @ $11.50 per hour
100
What is the scale factor of going from triangle L to S?
Scale factor is 1.5
100
Find slope. Slope is change in y / change in x (rise/run)
Slope = 3
200
Type 1500 words in 30 minutes. How many words per minute?
50 WPM
200
If it takes 30 minutes to travel 40 miles, how long will it take to travel 100 miles?
75 minutes
200
What is the equation of direct variation when y is 52 and x is 4? (find the rate, then write your y=kx equation)
Compare to an equation of y=12.5x.
Which has a greater variation?
k = 13
200
What is the scale factor going from figure T to S.
Scale Factor 1:4
200
Find the rate (slope) of Gavin's earnings. Write the equation of direct variation.
Slope = 12.50
y=12.50x
300
Dunkin Donuts has 18oz of coffee for $2.88 and Starbucks has 16oz for $3.68.
Which store has a better deal and how much is the coffee per oz?
Dunkin Donuts @ .16 Cents per oz
300
According to the table, if you asked 120 students to choose their favorite holiday snack, how many would choose cookies?
24 Students
300
Which table represents a proportional relationship?
Table 2
300
What happens to a new image (copy) when the scale factor is greater than 1? Smaller than 1?
Greater - The copy is bigger
Smaller than 1 - The copy is smaller
300
Find the rate (slope) of Kara's earnings. Then write the equation of direct variation.
Slope = 15
y=15x
400
Jamal walks 4 miles in 1.5 hours.
What is his unit rate in miles per hour?
Aaliyah walks 3 miles in 1 hour.
What is her unit rate in miles per hour?
Who is walking at a slower pace?
Jamal at a pace of 2.67 mph (or 2⅔ mph)
400
Mrs. Braschler and Dr. Stoneburner played 15 games of checkers. Mrs. Braschler won 10 of the games. If this rate continued, how many games would Mrs. Braschler win out of 60 games?
Mrs. Braschler would win 40 out of 60 games.
400
The graph below represents how many chips Rebecca eats in an hour.
The equation represents the rate that Leila eats chips at. Find out who eats more chips in 3 hours.
Leila will eat 45 chips in 3 hours.
400
A builder is using the scale drawing shown to build a house. The figure below shows the blueprint of the living room: The scale is 1cm = 3.5ft
What is the actual length and width of the living room?
Length = 10.5 ft
Width = 17.5 ft
400
Find the slope of the graph.
Slope = -1/3
500
Maria bought 6 apples for $3.00.
What is the unit price per apple?
If she buys 10 apples at the same rate, how much will it cost?
$3.00 ÷ 6 = $0.50 per apple
10 × $0.50 = $5.00
500
At a baseball game, 30 out of 50 people entering the stadium are wearing hats.
If 200 people enter the stadium, how many would you expect to NOT be wearing hats?
80 People would not be wearing hats.
500
Plant A grows 6 inches in 3 weeks.
Plant B grows 10 inches in 5 weeks.
Are the growth rates of Plant A and Plant B proportional? Which plant is growing faster?
- Plant A: 6/3 = 2 inches per week
- Plant B: 10/5 = 2 inches per week
Both plants grow at the same rate so their relationships are proportional, and neither plant is growing faster.
500
What is the area of the blueprint? What is the area of the actual living room?
Area of the Blueprint = 15 sq cm
Area of the Actual Living Room = 183.75 sq ft
500
What does the the point (3,45) represent on Kara's graph below.
Kara makes $45 for 3 hours worked.