Unit Rates
Graphs
COP
Tables
Vocabulary
100
A train can travel 10 miles in 15 minutes. How far can the train travel each minute? (As a fraction)
2/3 miles per minute
100
Is the graph proportional? Why or why not?
Yes. It has a straight line and is through the origin.
100
The remaining length (L) of 120 inch rope after x inches have been cut off can be represents by the equation 120-x=L. Does this represent a proportional relationship? Why or why not?
No because the equation includes subtraction, making it not proportional.
100
Is the following relationship proportional?
x y
2 8
3 12
5 21
7 28
No, the COP is not the same for each row.
100
The value of the ratio y/x of two proportional quantities x and y is called the ________________.
Constant of proportionality
200
A bakery is selling muffins. 12 muffins cost $6.48. 6 muffins cost $3.36. Which one is the better deal?
12 Muffins for $6.48
200
The graph below represents the total number of plants and number of seed packets used. What is the constant of proportionality?
COP = 10
200
A store sells rope by the meter. The equation p=0.7L represents the price p (in dollars) of a piece of nylon rope that is L meters long. How much does the nylon rope cost per meter?
$0.70 per meter
200
What is the constant of proportionality?
x y
3 7.5
4 10
6 15
COP = 2.5
200
For two quantities x and y, if y is always a constant multiple of x, they have a _______________________.
Proportional relationship.
300
A recipe uses 3/8 cups of butter for every 1/3 cup of milk. If Priya has one whole cup of milk, how much butter will she need?
9/8 Cups of butter
1.125 Cups of butter
300
The graph below represents the total number of cups of coffee and the total amount of sugar required to make coffee. What is the constant of proportionality?
COP = 5
300
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t=1/350d. How long did it take the airplane to travel 800 miles? (round to two decimal places or keep as a fraction)
800/350 hours or 2.29 hours
300
Use the equation y=5/2*x to solve for y.
x y
3 ?
15/2 = 7.5
400
Mai can ride her bike 12 miles in 3/4 hour. At this rate how far will she ride in 2 hours?
32 miles
400
The graph below represents the total number of cups of coffee and the total amount of sugar required to make coffee. How many cups of coffee can be made with 9 pounds of sugar?
45 Cups
400
Concrete building blocks weigh 27 pounds each. Using b for the number of concrete blocks and w for the weight, write two equations that relate the two variables. One quotations should begin with w= and the other equation should begin with b=.
w=27*b
b=1/27 * w
400
Use the equation to solve for the missing value.
y=6/7 * x
x y
? 12
14
500
A seagull can fly 3/5 miles in 3/4 of an hour. A pelican can fly 1/3 miles in 2/5 of an hour. If each of them fly for 3 hours, which one goes further
Pelican will go further
500
Write an equation that relates x and y based on the graph.
y= 4/9*x
500
A wooden deck is being installed at a rate of 3 boards in 4 minutes. Write the equation that relates b, the amount of boards and m, minutes.
b=3/4*m
or
m=4/3*b
500
Write an equation that represents the relationship in the table.
x y
2/5 1/3
4/5 2/3
y = 5/6 * x
x = 6/5 * y