Unit Rates
Tables
Graphs
Equations
Identifying and Solving Proportions
100
Thunder from a bolt of lightning travels 1/10 mile in 1/2 second. At this rate, how many miles can it travel in one second?
1/5 miles per second
100
The table shows the temperatures in degrees Celsius that correspond to different temperatures in degrees Fahrenheit. Is this a proportional relationship?
No
100
The graph shows the total number of markers in 1, 2, 3, and 4 boxes of markers. What is the unit rate?
8 markers per box
100
What is the equation of proportional relationships?
y=kx
100
On average, Anna can drive 31 miles on every gallon of gasoline. If she fills up her tank for $2.19 per gallon, how much will it cost her to drive 434 miles?
$30.66
200
Penelope buys 3 1/4 yards of fabric to make curtains. If she spends $27.95 on the fabric, what is the cost per yard?
$8.60
200
The table shows the distance rowed by a rowing crew after different lengths of time. How many meters will the rowing crew travel in 5 minutes?
1,575 meters
200
What is the constant of proportionality of Object Y?
2
200
Claudia bought 7 carrots for $3.43.
Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars y to the number of carrots x.
y=0.49x
200
Which of the following are proportional relationships?
B, D, and E
300
Jana ran the first 3 1/2 miles of a 5-mile race in 1/3 hour. What was her average rate, in miles per hour, for this first part of the race?
10.5 miles per hour (or 10 1/2, 21/2 )
300
Determine if the relationship between each pair of quantities is proportional.
A - Yes
B - No
300
Is this a proportional relationship?
Yes
300
Lucinda paid $37.50 for 3 tickets to the zoo. Find the unit rate and then use the unit rate to write an equation.
y=12.5x
300
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. If you use 18 tablespoons of oil, how much vinegar and honey do you need?
Vinegar - 4.5 tablespoons
Honey - 3 tablespoons
400
Three friends went hiking on different trails at a nature preserve last weekend. The table shows how far each person hiked and the amount of time it took. Who had the fastest rate?
Donald
400
The table shows the distance traveled by a cyclist on a bike trail after different amounts of time. Use the table to find the constant of proportionality for miles per hour. Express your answer in decimal form.
24.4 mph
400
Karl said the point (1, 1) represents the constant of proportionality for the graph shown. Find his error and correct it. 
The graph is not a proportional relationship, so there is no constant of proportionality.
400
The table shows several ordered pairs from a proportional relationship. Write an equation to represent the relationship in the table.
y=4x
400
A painter can paint 150 square feet per hour. He charges $0.33 per square foot. Today he paints for 4.5 hours. How much will he charge?
$222.75
500
The table below shows how fast some of the world's fastest animals could travel in different portions of an hour at their top speed. Order the animals from slowest to fastest. 
Elk, Brown Hare, Blue Wildebeest, Cheetah
500
The cost of printing different numbers of photographs at a retail store is shown in the table. Is it possible to determine the total cost of printing 250 photographs from the table? Explain.
No, we cannot find the unit rate because the relationship between the cost and the amount of prints is not proportional.
500
Sean needs to buy 150 pounds of dog food for the local dog shelter. The graph shows the relationship between the number of bags of dog food and the total weight of the dog food at Pets Galore. Another store, Healthy Pets, sells dog food in 50-pound bags for $88.45 per bag. If one bag of food from Pets Galore costs $46.04, how much would Sean save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?
$35.15
500
Does this represent a proportional relationship?
y=16x+1
No
500
Eliott is designing his garden. For every red rose, he plans to plant three blue delphiniums. Using only these two types of flowers, he plans to plant 16 flowers in his garden. How many roses will he have and how many delphiniums will he have?
Roses - 4
Delphiniums - 12