Ratios
A smartphone is 6 inches long. About how many centimeters long is it? (1 inch ≈ 2.54 centimeters)
15.24 centimeters
A piece of ribbon is 7 feet long. How many inches long is it? (1 foot = 12 inches)
84 inches
A car travels 180 miles in 3 hours. Find the unit rate.
60 mph
Find the unit rate:
4 miles per 1/4 hour
16 miles per 1 hour
The equation for a line that is proportional is written in the form....
y=kx
Write the ratio 12 cats to 18 dogs in simplest form.
2:3
A runner completes a 5-mile race. About how many kilometers did the runner travel?(1 mile ≈ 1.6 kilometers)
8 kilometers
A pack of 8 pencils costs $4. What is the cost per pencil?
$0.50 per pencil
1/4 feet per 5/6 minute
3/10 feet per 1 minute
Another name for the constant of proportionality is..
Unit Rate!
A paint mixture contains red, blue, and yellow paint in the ratio 4:3:2. If 54 cups of paint are made, how many cups of blue paint are used?
18 cups
(1 pound ≈ 0.45 kilograms) A package weighs 36 pounds. About how many kilograms does it weigh?
16.2 kilograms
A bakery uses 42 pounds of flour to make 168 loaves of bread. If the bakery receives an order for 250 loaves, how many pounds of flour will be needed?
62.5 pounds
It takes Paul 2 1/2 hours to mow 3/4 of his lawn. How long does it take him to mow his entire lawn?
3 1/3 hours to mow the whole lawn.
Is this a proportional relationship? If yes, what is the constant of proportionality (k)? If no, why not?
x y
3 15
4 20
5 30
No because the ratios are not equivalent.
The ratio of seventh graders to eighth graders at a school is 5:7. After 36 new eighth graders enroll, the ratio becomes 5:8. How many students were originally in the school?
432 students
(1 gallon ≈ 3.8 liters) A fish tank holds 55 gallons of water. About how many liters of water does it hold?
209 liters
A water tank is filled at a constant rate. In 18 minutes, 315 gallons are added. At this rate, how many gallons will be added in 2 hours?
2100 gallons
James can walk 2/3 of a mile in 1/6 of an hour. How far can James walk in 1 hour?
James can walk 4 miles in 1 hour.
A contractor charges a proportional rate for paving. The graph contains the points (12, 900) and (20, 1500). What is the constant of proportionality and the cost to pave 35 square yards?
$75 per square yard
$2,625
A bag contains red, blue, and green marbles in the ratio 3:5:7. If 18 red marbles are added, the ratio becomes 6:5:7. How many marbles were originally in the bag?
75 marbles
(1 pound ≈ 0.45 kilograms) A shipping company charges a fee for packages over 25 kilograms. A crate weighs 62 pounds. Will the crate incur the fee?
27.9 kg
You took a family trip to the mountains and traveled 486 miles. It took 18 gallons of gas to get there. How many gallons would it take to drive 500 miles?
(Round to the nearest 10th)
18.5 gallons of gas
Sam rode her bike 2/7 of a mile in 5/6 of an hour. How long will it take Sam to ride 1 mile?
35/12 hours
or
2 11/12 hours
The relationship between a puppy's age and weight are proportional. At 3 months, the puppy weighs 25.8 pounds. If the puppy weighs 38.75 pounds, how old is it? (Round to the nearest 10th)
4.5 months old