9.1 Homework Practice

#9.1 Homework Practice

Graphing Ratios

1. When it is running smoothly, the assembly process can put together 7 mechanical dinosaurs every 4 minutes. Which table shows how many dinosaurs the process assembles for the given number of minutes?

1. To make a flag a certain number of yards of fabric are needed. The graph shows the ratio of yards of fabric needed to number of flags made. Make a table of ratios from the graph.

1. For a fundraiser, a student club sells 6 poster for $3. How many posters does the club need to sell in order to get $8? Use the graph to help you solve the problem.

#9.2 Homework Practice

Recognizing Ratios

1. You prepare 10 scoops of dog food for 4 dogs, and prepare 16 scoops of dog food for 8 dogs. Is there a proportional relationship between the number of scoops and the number of dogs?

1. Which table shows a relationship that is proportional?

1. For what value of x do the two ratios suggest a proportional relationship.

1. 13
2. 169
3. 39
4. 117

1. For the graph below, tell if the number of seconds and the number of feet run have a proportional relationship.

#9.3 Homework Practice

Constant of Proportionality

1. You are making a new recipe for dinner. The recipe has the following proportional relationship.

1. A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings. How many cups of flour are needed to make 20 servings?

1. 5 cups
2. 8 cups
3. 7 cups
4. 4 cups

1. Find the constant of proportionality for the proportional relationship between weight and cost shown in the table.

1. Does the table show a proportional relationship? If so, what is the constant of proportionality of y to x? Show work to justify your answer.

1. The table shows a proportional relationship.

1. The table does not show a proportional relationship.

1. The graph shows a proportional relationship for part of your trip to an event. What is the constant of proportionality?

#9.4 Homework Practice

Proportional Relationships and Equations

1. The equation below describes a proportional relationship between x and y. What is the constant of proportionality?

1. The equation represents the perimeter, P, of a square with a side length s. What is the perimeter of a square with side length 5 cm?

1. An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.

1. Solve the proportion.

#9.5 Homework Practice

Maps and Scale Drawings

1. On a floor plan, 1 in. represents 4 ft. According to the map, what are the real dimensions of the kitchen?

1. Using the diagram, what is the actual length of the truck.

1. A portion of a map with cities A and B is shown. The map uses the scale 1 inch = 30 miles. You are making a map with a scale of 2 inches = 15 miles. How far apart are the cities A and B on your map?

1. Flooring. How many square feet of flooring is needed to cover the entire living room floor.

1. On a map, 2 inches equals 120 miles. The distance the family travels is 2.5 inches on the map. Represent this scale as two different ratios.

#9.7 Homework Practice

Review

1. The table shows a proportional relationship between x and y. Complete the table.

1. A baker likes to make cookies. The graph shows a proportional relationship between cups of flour used and number of cookies made. What does the point (0,0) represent?

1. The baker makes 0 cookies with 0 cups of flour.
2. The baker needs 0 cups of flour to make 0 cookies.
3. The unit rate is 0 cookies per cup of flour.
4. The unit rate is 0 cups of flour per cookie.

1. Does the graph show a proportional relationship between x and y?

1. The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.