HURRY PLEASE c) Look at the scale factor from parts a and b. Do they represent a reduction or an enlargement of the Empire State Building? How do you know? (2 points)

d) Use your knowledge of scale drawings and image sizes to fill in the missing information in the table. (3 points)

Empire State Building

Original Image

Actual Height (in feet)

1,450

1,450

1,450

Reduced Image

Model Height (in blocks)

145

Scale Factor

e) Sally told Joe that if you are reducing an image, the scale factor is less than 1, and if you are enlarging an image, the scale factor is greater than 1. Is Sally correct? Explain. (2 points)

Step 2: Using proportional relationships

You are traveling by car to New York City. The map you will use for your journey is below.

a) What is the scale factor on the map? (1 point)

b) What is the approximate distance from Chicago to New York City? Use a proportional relationship to solve the problem. Show your work. (2 points)

c) What is the approximate distance from Denver to Chicago? Use a proportional relationship to solve the problem. Show your work. (2 points)

d) You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning. (2 points)

Step 3: Solving problems involving scale drawings

New York’s Central Park is home to many well-known sculptures, lakes, and grassy areas where you can enjoy a picnic, a concert, a paddle boat ride, a long walk, or a horse-and-carriage ride.

a) According to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. What is the approximate area of the park? Show your work.

(2 points)

b) Let’s say the area of the map is 21 square inches. You want to make an enlarged map of Central Park to take with you on your journey. Describe how you can determine the area of the enlarged map. (2 points)

c) Suppose the scale factor you will use to enlarge the map is 5:1. What is the approximate area of the park in your enlarged drawing? Show your work. (2 points)

d) How did you apply proportional reasoning as you worked through these problems? (1 point)