7th Grade Math

Lesson 2B Scale Drawings and Models 289

19. TREES A model of a tree is made using a scale of 1 inch : 25 feet. What is
    the height of the actual tree if the height of the model is 4 ^3
    8
    inches?
    B 20. GEOGRAPHY A map of Bakersfield, California, has a scale of 1 inch to
    5 miles. If the city is 5 ^1
    5
    inches across on the map, what is the actual
    distance across the actual city? Use estimation to check your answer.


20. MULTIPLE REPRESENTATIONS Refer to the information at the left.
    a. NUMBERS Find the scale factor between the actual height of Thomas
    Jefferson and the statue.
    b. TABLE Make a table showing the height of the statue for every foot in
    height of Thomas Jefferson.
    c. ALGEBRA Write an expression to represent the height of the statue if
    Thomas Jefferson is x feet in height.
    d. NUMBERS Find the actual height of Thomas Jefferson if the height of
    the statue is 19 feet.


21. BUILDINGS If you are making a model of your bedroom, which would be an
    appropriate scale: 1 inch = 2 feet, or 1 inch = 12 feet? Explain.

2323 GRAPHIC NOVEL Refer to the graphic novel frame below for Exercises a and b.

How far

will we

have to

travel?

How f

will w

have t

trave

a. How many units on the map will Raul, Caitlyn, and Jamar go from

the lake to the cabin?

b. What is the actual distance?

C 24. OPEN ENDED On grid paper, create a scale drawing of a room in your

home. Include the scale that you used.

25. REASONING Compare and contrast the terms scale and scale factor.
    Include an example in your comparison.


26. E WRITE MATH Explain how you could use a map to estimate the
    actual distance between Miami, Florida, and Atlanta, Georgia.

Real-World Link

The statue of Thomas

Jefferson inside the

Jefferson Memorial in

Washington, D.C., was

made using a scale of

1 foot : 3 feet.

RR

T

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