What's the Ratio
A recipe uses 2 cups of sugar for every 5 cups of flour. What is the ratio of sugar to flour?
2:5
A pizza shop sells 2 large pizzas for a total of $24. What is the cost for 5 large pizzas, assuming the relationship is proportional?
$60. The unit rate is $12 per pizza, so $12 times 5 = $60.
A car travels 100 miles in 2 hours. What is the constant of proportionality for the relationship of miles per hour?
50
A recipe calls for 2 eggs for every 4 cups of flour. Find the constant of proportionality for eggs per cup of flour and write an equation using e for eggs and f for flour.
e=0.5f
f=2e
True or False: The relationship between a person's age and their shoe size is proportional.
False. The ratio of age to shoe size is not constant.
In a classroom, there are 12 boys and 15 girls. What is the ratio of boys to the total number of students?
12:27 or 4:9
If a car travels at a constant speed, and travels 150 miles in 3 hours, how many hours would it take to travel 250 miles?
5 hours. The unit rate is 50 mph, so 250÷50=5.
If the ratio of cups of flour to cookies is 3:12, what is the unit rate for cookies per cup of flour?
4 cookies per cup.
A cyclist rides 30 miles in 2 hours. Find the constant of proportionality for miles per hour and write an equation using d for distance and t for time.
d=15t
True or False: If a relationship is proportional, it means you can add the same number to get from one quantity to the other.
False. A proportional relationship involves multiplication, not addition.
A car travels 150 miles on 5 gallons of gas. What is the ratio of miles to gallons?
150:5 or 30:1
It takes 15 minutes to wash 3 cars. How long would it take to wash 5 cars at the same rate?
25 minutes. The unit rate is 5 minutes per car (15÷3=5). So, 5×5=25.
If a recipe uses 1.5 cups of sugar for every 4.5 cups of flour, what is the constant of proportionality for the relationship of cups of sugar per cup of flour?
1/3
A runner can complete 1 mile in 8 minutes. Find the constant of proportionality for miles per minute and write an equation using m for miles and t for minutes.
m=(1/8)t
If a relationship is proportional, a value of 0 for one quantity means a value of 0 for the other.
True
A recipe uses 1.5 cups of sugar for every 4.5 cups of flour. What is the simplified ratio of sugar to flour?
1:3
A grocery store sells grapes for $1.50 per pound. What would the cost be for 3.5 pounds of grapes?
$5.25. (1.50×3.5=5.25)
What is the constant of proportionality for the relationship between the number of sides on a shape and the number of corners?
The number of sides and corners is always equal, so the constant of proportionality is 1.
A company prints 150 t-shirts in 2.5 hours. Find the constant of proportionality for t-shirts per hour and write an equation using T for t-shirts and h for hours.
T=60h
True or False: If the ratio of red apples to green apples is 3:2, and you buy 6 red apples and 4 green apples, the relationship is still proportional.
True. The ratio 6:4 is equivalent to 3:2, meaning the relationship is still proportional.
A school sells lemonade with a ratio of 2 parts lemon juice to 3 parts sugar. If they use 15 cups of sugar, how many cups of lemon juice do they need?
10 cups of lemon juice
A factory can make 250 toys in 2.5 hours. At this rate, how many toys can they make in a 4-hour workday?
400 toys. The unit rate is 100 toys per hour (250÷2.5=100), so 100×4=400.
What is the constant of proportionality for the relationship of minutes of showering to gallons of water if the unit rate is 2.5 gallons per minute?
2.5
A baker uses 3 cups of flour to make 4 cakes. Find the constant of proportionality for cakes per cup of flour and write an equation using c for cakes and f for flour.
c=(4/3)f
The relationship between the number of puppies in a litter and the number of legs they have is proportional.
True. For every 1 puppy, there are 4 legs. The ratio of legs to puppies is always a constant 4:1.