Proportions

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.

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?

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

• 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

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

• 16:8

• 14:7

• The ratios form a proportion

• Not enough information

In Beverly Hills, two Hollywood actors own houses that are just 39 kilometers apart. On a map of stars' houses, these two houses are 6 centimeters away from each other. What is the scale of the map? Write your answer in simplest form using whole numbers, units, and no spaces. Ex. 1cm=1km

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