an artist painted a 1 foot square painting. Now she wants to create more paintings of different sizes that are all scaled copies of her original painting. The paint she uses is expensive, so she wants to know the sizes she can create using different amounts of paint. 1. Suppose the artist has enough paint to cover 9 square feet. If she uses all her paint, by what scale factor can she dilate her original painting? 2. Complete the table that shows the relationship between the dilated area () and the scale factor (x). Round values to the nearest tenth if needed. Use the applet at the end of the lesson to help, if you choose. Dilations dilated area in sq ft. 0 1 4 9 16 3. On graph paper, plot the points from the table and connect them with a smooth curve. 4. Use your graph to estimate the scale factor the artist could use if she had enough paint to cover 12 square feet. 5. Suppose the painter has enough paint to cover 1 square foot, and she buys enoug scale factor she can use? scale factor (k) paint to cover a additional 2 square feet. How does this chang the 6. Suppose the painter has enough paint to cover 14 square feet, and she buys enough paint to cover an additional 2 square feet. How does this change the scale factor she can use?
an artist painted a 1 foot square painting. Now she wants to create more paintings of different sizes that are all scaled copies of her original painting. The paint she uses is expensive, so she wants to know the sizes she can create using different amounts of paint. 1. Suppose the artist has enough paint to cover 9 square feet. If she uses all her paint, by what scale factor can she dilate her original painting? 2. Complete the table that shows the relationship between the dilated area () and the scale factor (x). Round values to the nearest tenth if needed. Use the applet at the end of the lesson to help, if you choose. Dilations dilated area in sq ft. 0 1 4 9 16 3. On graph paper, plot the points from the table and connect them with a smooth curve. 4. Use your graph to estimate the scale factor the artist could use if she had enough paint to cover 12 square feet. 5. Suppose the painter has enough paint to cover 1 square foot, and she buys enoug scale factor she can use? scale factor (k) paint to cover a additional 2 square feet. How does this chang the 6. Suppose the painter has enough paint to cover 14 square feet, and she buys enough paint to cover an additional 2 square feet. How does this change the scale factor she can use?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.Use your graph to estimate the scale factor the artist could use if she had enough paint to cover 12 square feet,
5. Suppose the painter has enough paint to cover 1 square foot, and she buys enough paint to cover an additional 2 square feet. How does this change the scale factor she can use?
6. Suppose the painter has enough paint to cover 14 square feet, and she buys enough paint to cover an additional 2 square feet. How does this change the scale factor she can use?
Transcribed Image Text:An artist painted a 1 foot square painting. Now she wants to create more paintings of different sizes that are all scaled copies of her
original painting. The paint she uses is expensive, so she wants to know the sizes she can create using different amounts of paint.
1. Suppose the artist has enough paint to cover 9 square feet. If she uses all her paint, by what scale factor can she dilate her original painting?
2. Complete the table that shows the relationship between the dilated area () and the scale factor (x). Round values to the nearest tenth if needed. Use the
applet at the end of the lesson to help, if you choose.
Dilations
dilated area in sq ft.
0
1
4
9
16
3. On graph paper, plot the points from the table and connect them with a smooth curve.
4. Use your graph to estimate the scale factor the artist could use if she had enough paint to cover 12 square feet.
paint to
5. Suppose the painter has enough paint to cover 1 square foot, and she
scale factor she can use?
scale factor (k)
additional 2 square feet. How does this change the
6. Suppose the painter has enough paint to cover 14 square feet, and she buys enough paint to cover an additional 2 square feet. How does this change the
scale factor she can use?
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