Unit Rates
Unit Rates with Fractions
Proportional Relationships
Solving Rates
Scale Drawings
100
Find the unit rates for the following problems:
27 calls in 9 hours
What is 3 calls per 1 hour
100
Find the unit rates:
4 miles/ 1/4 hour= x miles / 1 hour
What is 16 miles
100
What are the three things to remember with proportional relationships?
What is
1. The ratio of y to x is constant through all ordered pairs
2. The graph will pass through the origin (0,0)
3. The equation is linear (a straight line) and can be written in the form of y=mx
100
What conversion rate would you need to go from miles to feet?
5,280 ft = 1 mile
100
In an equation, which variable represents real life dimensions?
In an equation, which variable represents scale drawing dimensions?
real life dimensions - X
scale drawing dimensions - Y
200
21 yards of yarn costs $42. What is the price per yard?
What is $2 per yard
200
Find the unit rate:
1/4 feet / 5/6 minutes = x feet / 1 minute
What is 6/20 or 3/10 feet
200
Another name for constant of proportionality is..
What is unit rate
200
Convert the following to feet per minute:
55 miles per hour
4,840 ft/min
200
Carly's school is building a new Soccer Field based on a scale drawing that is 10 centimeters by 30 centimeters and uses the scale 2 cm : 5 m.
Write an equation for the proportional relationship between a drawing length x, in centimeters, and a building length y, in meters.
y= 2/5 x
300
Spenser bought 5 chocolate bars for $3.70. What is the unit price for 1 chocolate bar?
What is $0.74 per 1 chocolate bar
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
On a graph, the line has to go through what to be proportional?
What is the origin or point 0,0
300
Convert the following to feet per minute:
50 miles per hour
4,400 ft/min
300
Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 20 centimeters by 60 centimeters and uses the scale 1 cm : 1.5 m.
Write an equation for the proportional relationship between a drawing length x, in centimeters, and a building length y, in meters.
y= 1/1.5 x
400
You took a trip to the mountains and traveled 486 miles. It took you 9 hours to get there. What is your miles per hour?
What is 54 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 machine is a proportional relationship and what is its constant of proportionality?
What is machine Q and a constant of proportionality of 6
400
Convert the following to Miles per Hour:
28 miles in 3/4 hour
42 2/3 mph
400
Sandy Island Beach is building a new Snack Shack based on a scale drawing that is 20 centimeters by 60 centimeters and uses the scale 1 cm : 1.5 m.
What is the length and width of the actual Snack Shack?
30 meters, 90 meters
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
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
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
Convert the following to Miles per Hour:
55 feet per second
37.5 mph
500
Weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in : 7 ft of carpet. What are the length and width of the scale drawing?
50/7 in by 10in.