Graphs
Tables
Equations
Unit Rates
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
What is the constant of proportionality in y = 0.5x
0.5
100
It costs $28 to buy 8 bottles of shampoo. What is the unit price per bottle?
$3.50
100
Do the foll0wing fractions form a proportion?
2/3 , 8/12
yes
200
What is the constant of proportionality for the graph with the following points? (6,2) (9,3) (12, 4)
1/3
200
Glasses Sold $ Collected
1 $0.75
2 $1.50
3 $2.25
If you collected $6.75 how many glasses did you sell?
9 glasses
200
Sally is going on a vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equation that represents have far they will travel (y) in x hours.
y = 45.25x
200
It costs $14.95 to buy a 5 pound bag of coffee. It costs $23.12 to buy a 8 pound bag of coffee? Which is the better buy?
8 pound bag of coffee
200
Solve the following proportion:
5/18 = 32/x
115.2
300
What is the following point on the graph called? (0,0)
Origin
300
Does the table show a proportional relationship?
x 4 5 6 10
y 64 125 216 1000
No
300
On Halloween a group of 2 children (x)come to the house and I give out 4 candy bars (y). Then a group of 4 children come to the house and I give out 8 candy bars. Find the constant of proportionality and write an equation to represent the situation.
y = 2x
300
Amy rides her bike 4 miles in 3/4 hours. How many miles can she ride in 1 hour?
5 1/3 miles
300
On a map 2 cm = 8 miles. How far is the actual distance between 2 cities that are 15 cm apart on the map.
60 miles
400
What 2 characteristics must a graph have for it to show a proportional relationship?
1)Go through the origin
2) Be a straight line
400
Find the constant rate of change
20
400
Write an equation to represent this situation.
y = 4x
400
Amy can paint 1/2 a room is 1/4 of an hour. How much can she paint in 1 hour?
2 rooms
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 table shows the weights of a bunches of bananas and the price of each bunch. Write an equations to relate the weight (w) to the price (p)
Weight (w) Price (p)
3 pounds $1.35
3.8 pounds $1.71
5.2 pounds $2.34
p = 0.45w
500
John can run 3/4 of a mile in 1/3 of an hour. How far can he run in 2 hour?
4 1/2 miles
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