Prpportional Reasoning

Which of the following sets of ordered pairs is not a direct variation?

(0, 0); (1, 3); (2, 4)

If there are 1,000 milligrams in 1 gram, convert 320 milligrams to grams.

0.32 grams

The following table shows a direct variation. 3/y; 15/5; 19/6; 27/9

1

On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers. What was the scale used for the map?

1 cm = 15 km

The actual dimensions of a rectangle are 50 yards (length) by 35 yards (width). According to the blue-print below, what scale was used?

1 inch = 10 yards

Which of the following equations is not a proportion?

1.5/3 = 3/9

Wendy wants to put a wallpaper border around her bedroom. The room has two walls that each measure 10 feet 5 inches and two walls that each measure 6 feet 1 inch. How many yards of wallpaper border must Wendy buy?

11 yard

If x:6 as 3:9, then x is equal to

2

If a scale drawing uses a scale of 1:12, what would 2 1/2 inches on the model represent in real life (in feet)?

2 1/2

A model train uses a scale of 1:48. One car of the model train is 6 inches long. What is the length of the actual train car?

24 feet

Y is directly related to X, and Y is 81 when X is 27. The constant of variation is

3

Which of the following pricings has the lowest price per pound?

3 pounds for $4.05

A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint?

3 to 5

A punch bowl can hold 64 cups of punch. How many pints of punch will it hold?

32 pt

A certain paint is to be mixed with 3 parts yellow to 2 parts blue. Twelve gallons of mixed paint are needed. How many gallons of blue must be used?

4.8

A double recipe of cookies calls for 5 cups of flour. Which of the following proportions could be used to find the amount of flour for a triple recipe?

5/2=f/3

Convert 15 meters per second into kilometers per hour.

54 kilometers per hour.

S varies directly as T. If S is 20 when T is 4, then T is ______ when S is 30.

6

All of the following ratios are equivalent except _____.

6/4

At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?

63 miles per hour

The ratio of boys to girls is 5 to 4. There are 80 boys. How many girls are there?

64

If 9/24 = 3/x , then x is

8

If △ABC ~ △FED, which of the following statements is correct?

AC ~ FD

Which of the following is the equation of a direct variation that has a constant of variation equal to -1/2?

y=-1/2x

If △ABC ~ △FED, which of the following statements is correct?

∠A ≅ ∠F