Advanced Unit 4 Study Guide Name ______

1.) On a farm of 24 animals, there are 9 pigs, 10 horses, 2 dogs, and the rest are cats. What is the ratio of cats to total animals?

2.) Find the value of x.

3.) An airplane can fly at a rate of 121 km per hour. How long would it take the plane to fly 2,840 km?

4.) A man is standing next to a tree with the sun behind them, as shown. If the man is 5 feet tall, how tall is the tree? 5.) On a recent day, the exchange rate between euros and U.S. dollars was 1 euro is equal to 1.453 U.S. dollars. If you exchange $86, how many euros would you receive?

6.) The scale of a model skyscraper is 1.5 inch to 500 feet. The model skyscraper is 8.5 inches tall. What is the height, in feet, of the actual building?

7.) A car uses 15 gallons of gas to go 370.5 miles and 20 gallons for 494 miles. Is the relationship between gallons miles proportional? Show how you know.

8.) Sam used of an ounce of butter to make of a pound of jelly. How many ounces of butter are needed to make one pound of jelly? Solve the proportion. 9.) 10.) Noah eats of an apple in minutes. At this rate, how many apples could he eat in an hour?

11.) This table shows the relationship between the weight of apples and how much they cost.

a.) What is the constant of proportionality?

b.) If x stands for the number of apples and y stands for the cost, write an equation that represents this situtation.

12.) In one class, the ratio of students who are chewing gum to the total number of students is 2:8. If there are 32 students in the class, how many students are not chewing gum? 13.) Below is a table based on a restaurant and the relationship of the number of people sitting at a table and the amount of time it takes to prepare their food. Complete the table assuming the relationship is proportional.

Number of People 2 10

Amount of time to prepare 0.5 1.5 their food (hours)

14.) The polygons are similar, but not necessarily drawn to scale. Find the value of x and y.

15.) Five out of every 12 students plan to go to the school dances. There are 36 students in the class. How many students plan to go to the dance this week? 16.) Find the value of x.

17.) The local pizza place sells a plain pie for $10. Each topping costs an additional $1.50. The table below shows this relationship. Is the cost of pizza proportional to the number of toppings purchased? Show how you know.

18.) Mr. Kennedy is building an addition on his house. The room will be 15 feet long and 10 feet wide. The model of his room is inches long. How wide will the model be?

19.) The scale of an action figure is inch : feet. The creator is using a life size model that is 6 feet tall. How tall will the model of the action figure be? 20.) The graph below shows the number of sit-ups completed over time.

b.) As the number of minutes increases by 1, how does the number of sit-ups change?

c.) What does the point (6, 300) mean?

d.) If a person does sit-ups for 8.5 minutes, at this rate, how many sit-ups would they complete?

e.) Write an equation that represents the situation.

f.) Is the point (15, 750) on the line?

21.) At Burger Giant they offer a deal for 14 hamburgers for $67.50 and at McQueen they sells 21 hamburgers for $78.90. Find the unit price for each and determine which is the better buy.

Burger Giant Unit Price:

McQueen Unit Price:

Better Buy:

22.) Which of the following ordered pairs is not proportional to the others?

(-7, 28) (2, -8) (5, -20) (-8, 40) 23.) The table shows costs of Julie’s Birthday Party

Guests (x) 3 4 8 12 Cost (y) 12 16 32 48

b.) Write an equation that represents this scenario.

24.) The graph shows how many books Eli has read over time.

b.) Write an equation that represents this scenario.