Unit Rates with Fractions
Unit Rate
Graphing Proportional Relationships
Proportional Relationships
Solve
Prop. Relationships
Prop. Relationships
100
Find the unit rates:
4 miles/ 1/4 hour= x miles / 1 hour
What is 16 miles
100
Find the unit rates for the following problems:
27 calls in 9 hours
What is 3 calls per 1 hour
100
Is this graph proportional?
Yes
100
On a graph, the line has to go through what to be proportional?
What is the origin or point 0,0
100
A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles?
5 hours
200
Find the unit rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
What is 6/20 or 3/10 feet
200
For every 3 chocolate chip cookies that Angel bakes, he bakes 2 oatmeal raisin cookies. Is he bakes 80 oatmeal raisin cookies, how many chocolate chip cookies did he bake?
What is 120 chocolate chip cookies
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Another name for constant of proportionality is..
What is unit rate
200
How do you know if a table is proportional?
The ratios y/x are equivalent
300
Set up rates then solve:
It takes Daniel 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
What is 20/6 or 10/3 or 3 1/3 hours.
300
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
What is $0.35
300
Cooper has just gotten a new job. The relationship between the number of hours he works, x, and his total earnings, y, is represented by the graph below.
A point (9,180) is labeled below. Which statement about the graph is true?
A) The unit rate is 20 hours per dollar
B) The unit rate is 9 hours per dollar
C) The unit rate is $20.00 per hour
D) The unit rate is $180.00 per hour
C) The unit rate is $20.00 per hour
300
Which machine is a proportional relationship and what is its constant of proportionality?
What is machine Q and a constant of proportionality of 6
300
Chen rode his skateboard 3 3/4 miles in 3/4 of an hour. What was his average speed in miles per hour?
5 miles per hour
400
Josh can walk 4/5 of a mile in 1/6 of an hour. He lives 1 mile away from school. How long will it take him to get to school?
What is 5/24 of an hour
400
Which is the better deal
$20 for 5 t-shirts
or
$24 for 8 t-shirts
What is $24 for 8 t-shirts (rate of $3 per shirt)
400
Using this graph, What is the equation? 
y= 1/6x
400
Write an equation for the given proportional relationship.
y = (3/2)x
400
The graph shows a proportional relationship between the total number of tennis balls and the number of cans. What does the point (2, 6) represent in this situation?
2 cans have 6 tennis balls
500
A bus traveled 2/7 of the distance between two cities in 5/6 of an hour. At this rate, how long will it take them reach their destination?
What is 35/12 or 2 11/12 hours
500
You took a trip to the mountains and traveled 486 miles. It took you 18 gallons of gas to get there. How many miles per gallon would it go?
What is 27 miles per gallon
500
Using this graph, What is the equation? If a dog that weights 55 lbs goes to the moon, how much does it weigh? (round to the nearest tenth)
y= 1/6x
The dog weighs 9.2 pounds on the moon
500
Is this a proportional relationship? If yes, what is the constant of proportionality? If no, why not?
What is no because the ratio of y to x is not constant
500
Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per pound of flour?
$1.59 per pound