Proportional Ratios?
Are the following equivalent ratios? (proportional)
6:12 and 14:7
No, the first has a value of 1/2 the second has a value of 2
Solve the following proportion using a method of your choice:
3:6 and x:30
x = 15
Find the unit rate for 1 hour:
180 miles traveled in 3 hours
60 miles per hour
Does the graph show a proportional relationship? How do you know?
Yes, it passes through the origin and is a straight line.
A model t-rex skeleton at a museum is built on a 1:4 scale. If the model t-rex is 4 feet tall, how tall would the actual skeleton be?
16 feet tall
Are the following equivalent ratios? (proportional)
7:6 and 54:48
Yes, the second ratio is equivalent to the first the values are 8 times larger
Solve the following ratio using a method of your choice:
9:x and 21:7
x = 3
Find the unit rate for 1 day:
18 miles run in 4 days
4.5 miles per day
6 miles per day
A model car is 23cm long. The actual car it's based on is 460cm long. What is the scale used?
1:20
Are the following equivalent ratios? (proportional)
3:33 and 9:98
No, both ratios have a value of nearly 1/11 but the second is slightly off
Solve the following ratio using a method of your choice:
2.5:5 and 6.5:x
x = 13
Find the unit rate for 1 hour:
48 miles traveled in 1.2 hours.
40 miles per hour
What does the point on the graph (5, 30) represent?
The person runs 30 miles total after 5 days.
A scale drawing of a part for a hearing aid shows a magnified version where a connector has a size of 12cm. In the actual hearing aid the connector is 1.5cm long. What is the scale factor of the drawing?
x1/8
Are the following equivalent ratios? (proportional)
2/4 : 7/14 and 6/8 : 21/28
Yes, both ratios have a value of 1
Solve the following ratio using a method of your choice:
1.2 : 9.6 and x: 2.4
x = 0.3
Find the unit rate for 1 cup of sugar:
1 2/3 cups flour:1/3 cup sugar
5 cups flour per cup of sugar
What is the equation of the graph?
y = 6x
A model of the statue of liberty shows the torch to be 4 inches tall. What is the scale factor of the model if the actual torch of the statue is 16ft tall.
x48.
16 feet is 192 inches.
Are the following equivalent ratios? (proportional)
1.4:4.2 and 2.6:7.8
Yes, both ratios have a value of 1/3
Solve the following ratio using a method of your choice:
1/2 : 3/4 and x:9/16
x = 3/8
Find the unit rate for 1 lap.
A sprinter is tracking times for an upcoming race. Their personal best time is 3/4 of a lap in 1min 12sec.
1min 36sec per lap
How many days will it take for the runner to have completed a total of 72 miles?
12 days
A scale map of Denver uses a scale of 0.5in:1mi. If Colfax street is 49.5 miles long, how large would it appear to be on the map?
99 inches.