Ratios and Rates
Determining Unit Rates
Proportions and Equivalent Ratios
Constants of Proportionality
Graphing Proportional Relationships
100
Write or describe a ratio equivalent to 3/2
Possible answers:
6/4
9/6
12/8
15/10
100
Express this rate as a unit rate: $10.00/5 lbs
$2.00 / lb
100
What number does x stand for?
x/5 = 16/20
4
100
What is the letter that represents the constant of proportionality?
k
100
The graph of any proportional relationship resembles what shape?
A line
200
Describe what equivalent ratios are, or provide an example of two equivalent ratios and explain how they are equivalent.
Sample response: Equivalent ratios are ratios that have the same value when their two terms are divided.
200
Maurice drove 250 miles in 5 hours. What was his average speed during his trip?
50 miles/hour (50 mph)
200
If x and y are in a proportional relationship, and y = 21 when x = 35, what should y equal when x = 5?
y = 3
200
If the terms in a proportional relationship are described as x and y, how do you find the constant of proportionality?
Divide y by x (y/x)
200
Proportional relationships are graphed along two axes. What are the names of these axes, and which directions do they go?
The x-axis, which goes horizontally, and the y-axis, which goes vertically.
300
Jackson jumped twice and traveled 8 feet. How many feet will he travel after 3 jumps?
12 feet
300
What makes a rate a unit rate?
The term in the denominator must have a value of 1.
300
If Damian need 2 cups of sugar to make 1 batch of his cobbler, how many cups of sugar does he need to make 5 1/2 batches of cobbler?
11 cups of sugar
300
Find the constant of proportionality if x = 8 and y = 2. Simplify fully if necessary.
1/4
300
If you graph a proportional relationship with points (0,0) , (3,4) , (6,8) , and (9,12), what would the next point have to be to maintain the proportional relationship?
(12, 16)
400
A rate is a special type of ratio in which the two terms have what?
Two different units
400
Half a gallon gas costs $1.60. Express the cost of gas a a unit rate ($ per gallon).
$3.20 per gallon
400
Kayla can fold 40 pizza boxes in 15 minutes. How many pizza boxes can she fold in an hour?
160 pizza boxes
400
Find the constant of proportionality. Use Pounds of Bananas as (x) and Cost as (y).
1.25
400
According to the graph, how many hours does it take for this person to walk 6 miles?
3 hours
500
Which of the following ratios is not equivalent with the others?
4/3 6/4.5 10/7.5 32/24 20/13.5
20/13.5
500
Arya bought 1.5 lbs of potatoes for $7.05. Express the cost of potatoes as a unit rate in $ per lb.
$4.70 per lb
500
In a minute a beetle travels 10 ft, on average, how many inches does he travel every second?
2 inches
500
Write an equation that represents the proportional relationship below. Express your constant of proportionality in decimal form. (milk is x, syrup is y).
y = 1.5x
500
What constant of proportionality can be found using this graph?
2