Proportions

Tammy uses x-many liters of water and y-many scoops of sugar to make various amounts of lemonade.

x (liters)|y (scoops)

4L|16scoops

5L|20scoops

7L|28scoops

8L|32scoops

Do x and y have a proportional relationship? If so, what is the constant of proportionality? [___] scoops per liter

• no

• yes, 16

• yes, 12

• yes, 4

• yes, lemonade

Lila likes to make lemonade using the lemons from her grandmother's trees. The graph shows the proportional relationship between the number of pitchers of lemonade Lila wants to make, x, and the number of lemons she needs, y. What does the point D represent?

• She needs 14 lemons to make 70 pitchers of lemonade

• She needs 70 lemons to make 14 pitchers of lemonade

• She needs 14 pitchers and 70 scoops of sugar

• She needs 70 pitchers and 14 scoops of sugar

• D doesn't represent anything. It's just a dot on a line.

Max is finding the perimeter of different-sized equilateral triangles. He discovers that there is a proportional relationship between the side length of the equilateral triangle in feet, x, and the perimeter of the equilateral triangle in feet, y. One triangle has a perimeter of 24 feet. What is it's side length in feet?

Sam draws a rectangle with a width of 7 feet, and a height of 18 feet. He then draws a second rectangle that is similar to the first, scaled up by a factor of 3. What is the area of the second rectangle?

• 4

• 6

• 8

• 10

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 20 girls?

• 15

• 25

• 10

• 30

What is the constant of proportionality?

• $3

• $4

• $2

• $9

An amusement park sold 59 child tickets. The other 6 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets? Write your answer as two numbers separated by a colon (for example, 2:3).

Select all ratios equivalent to 10:22.

• 40:88

• 50:110

• 56:55

• 22:10

• 15:33

Which ratio is greater? 16:8 or 14:7

• 16:8

• 14:7

• The ratios form a proportion

• Not enough information