Graphs
Tables
Equations
Scale Drawings
Ratios/Proportions
100
From the following 2 points on a graph what is the constant of proportionality? (1, 3) and (2,6)
3
100
Amber work at an ice cream shop. Her wages and hours are shown below in the chart. What is the constant of proportionality?
Hours (x) Wages (y)
2 16
4 32
6 48
8
100
k = _____
y/x
100
Ivan drew a scale drawing of his backyard at a scale of 1in : 3ft. If Ivan's deck is 48 feet wide in real life, what is the width of the deck in the drawing?
16 in
100
Jack counts 4 red cars for every 20 blue cars. What is the ratio of red to blue cars? Write as a fraction in simplest form.
1/5
200
What is the constant of proportionality for the graph with the following points? (4,2) (6,3) (8, 4)
1/2
200
What is the constant of proportionality shown in the table?
(x) (y)
4 2
8 4
6 3
0.5 or 1/2
200
What is the constant of proportionality for the equation y = 0.5x
0.5
200
Two legs of Triangle A are 3 & 4
Two legs of Triangle B are 9 & 12
The answer is the Scale Factor from Triangle A to Triangle B
What is 3
200
Noah cooks 5 hamburgers for every 3 hotdogs. What is the ratio of hamburgers to total food cooked? Write as a fraction in simplest form.
5/8
300
What is the following point on the graph called? (0,0)
Origin
300
What is the constant of proportionality shown in the table?
(x) (y)
5 4
6 4.8
8 6.4
0.8 or 4/5
300
Rachel walks dogs on the weekends. If the equation y = 9x represents the amount of money, y, she earns from walking x number of dogs. How much money does she make after walking 5 dogs?
$45
300
Duncan measured a game room and made a scale drawing. The scale of the drawing was 8 inches : 3 feet. If the actual length of the pool table is 6 feet, how long is the pool table in the drawing?
16 inches
300
Are the following ratios proportional?
1/6, 4/28
no
400
What are the two characteristics of a line on a graph that show the line is proportional?
1)Go through the origin
2) Be a straight line
400
Find the constant of proportionality
20
400
Write an equation to represent this situation if the cost is proportional to the number of pounds of ham.
y = 4x
400
In Science class you draw a cell to the scale of
48 mm = .04mm
Find the scale factor.
What is 1,200
400
Workdays to leisure days come in a ratio of 5 to 2 If a man take 14 leisure days, How many work days did he have to work?
35
500
3
500
Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money in her account proportional to the number of weeks?
No
500
The total cost of cherries, y, is proportional to the number of pounds of cherries,x. The equation that represents this scenario is. y = 3x
If the total cost of cherries is $24, how many pounds of cherries did they buy?
8 pounds
500
Clayton drew a scale drawing of a neighborhood park at a scale of 5 centimeters : 9 meters. In the drawing, the volleyball court is 10 centimeters long. What is the length of the actual volleyball court?
18 meters
500
The ratio of people to square miles in Alaska is 5 to 1. How many people would live on 250 square miles?
1250 people